2013 年6 月份 MR 数据库新增题录文献 9540 篇，其中数论相关文献 291 篇（见附件），现摘录部分如下（如果数学公式显示不完整，请点击 MR 题录号或者浏览附件） ，供数论爱好者参考。 MR2013年5月份数论最新文献题录 (附件238条) MR3045245 Ayad, Mohamed ; Kihel, Omar A new class of permutation polynomials of F q . Elem. Math. 68 (2013), no. 2, 53–55. MR3036020 Ladra, Manuel ; Omirov, Bakhrom A. ; Rozikov, Utkir A. Classification of p -adic 6-dimensional filiform Leibniz algebras by solutions of x q = a . Cent. Eur. J. Math. 11 (2013), no. 6, 1083–1093. MR3035972 Yamagishi, Masakazu A note on Chebyshev polynomials, cyclotomic polynomials and twin primes. J. Number Theory 133 (2013), no. 7, 2455–2463. MR3035971 Murata, Manabu On primitive solutions of quadratic Diophantine equation with four variables. J. Number Theory 133 (2013), no. 7, 2431–2454. MR3035970 Wright, Steve Quadratic residues and non-residues in arithmetic progression. J. Number Theory 133 (2013), no. 7, 2398–2430. MR3035969 Gyarmati, Katalin ; Konyagin, Sergei ; Sárkzy, András On the reducibility of large sets of residues modulo p . J. Number Theory 133 (2013), no. 7, 2374–2397. MR3035968 Chen, Feng-Juan ; Chen, Yong-Gao On the Frobenius conjecture for Markoff numbers. J. Number Theory 133 (2013), no. 7, 2363–2373. MR3035967 Johnson, Matthew Leander Hecke eigenforms as products of eigenforms. J. Number Theory 133 (2013), no. 7, 2339–2362. MR3035966 All, Timothy On p -adic annihilators of real ideal classes. J. Number Theory 133 (2013), no. 7, 2324–2338. MR3035965 Roulleau, Xavier On the Tate conjecture for the Fano surfaces of cubic threefolds. J. Number Theory 133 (2013), no. 7, 2320–2323. MR3035964 Qi, Feng Integral representations and properties of Stirling numbers of the first kind. J. Number Theory 133 (2013), no. 7, 2307–2319. MR3035963 Kelmer, Dubi Hybrid trace formula for a non-uniform irreducible lattice in P S L 2 ( R ) n . J. Number Theory 133 (2013), no. 7, 2277–2306. MR3035962 Li, Jiyou On the Odlyzko-Stanley enumeration problem and Waring's problem over finite fields. J. Number Theory 133 (2013), no. 7, 2267–2276. MR3035961 Petrov, Aleksandar A -expansions of Drinfeld modular forms. J. Number Theory 133 (2013), no. 7, 2247–2266. MR3035960 Machide, T. Generators for vector spaces spanned by double zeta values with even weight. J. Number Theory 133 (2013), no. 7, 2240–2246. MR3035959 Alkan, Emre ; Gral, Haydar On sums over the Mbius function and discrepancy of fractions. J. Number Theory 133 (2013), no. 7, 2217–2239. MR3035957 Broderick, Ryan ; Fishman, Lior ; Simmons, David Badly approximable systems of affine forms and incompressibility on fractals. J. Number Theory 133 (2013), no. 7, 2186–2205. MR3035956 Schweiger, Fritz Invariant simplices for subtractive algorithms. J. Number Theory 133 (2013), no. 7, 2182–2185. MR3035955 Lascu, Dan A Gauss-Kuzmin-type problem for a family of continued fraction expansions. J. Number Theory 133 (2013), no. 7, 2153–2181. MR3035954 Tang, Hengcai Lower bound for the higher moment of symmetric square L -functions. J. Number Theory 133 (2013), no. 7, 2143–2152. MR3031260 Hoffman, J. William ; Wang, Haohao 7-gons and genus three hyperelliptic curves. Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Math. RACSAM 107 (2013), no. 1, 35–52. MR3045716 Hu, Su ; Kim, Daeyeoul ; Kim, Min-Soo New identities involving Bernoulli, Euler and Genocchi numbers. Adv. Difference Equ. 2013, 2013:74, 15 pp. MR3045713 Chen, Si ; Cai, Yi ; Luo, Qiu-Ming An extension of generalized Apostol-Euler polynomials. Adv. Difference Equ. 2013, 2013:61, 10 pp. MR3035767 Longo, Matteo ; Nicole, Marc-Hubert The Λ -adic Shimura-Shintani-Waldspurger correspondence. Doc. Math. 18 (2013), 1–21. MR3044526 Chang, Mei-Chu Order of Gauss periods in large characteristic. Taiwanese J. Math. 17 (2013), no. 2, 621–628. MR3043834 Gutnik, L. A. On expansion of zeta(3) in continued fraction. Int. Math. Forum 8 (2013), no. 13-16, 771–781. MR3039816 Dixit, Atul Analogues of the general theta transformation formula. Proc. Roy. Soc. Edinburgh Sect. A 143 (2013), no. 2, 371–399. MR3035511 Yao, Weili ; Zhang, Wenpeng Two identities related to Dirichlet character of polynomials. Czechoslovak Math. J. 63(138) (2013), no. 1, 281–288. MR3035497 Lee, Jung-Jo Congruences for certain binomial sums. Czechoslovak Math. J. 63(138) (2013), no. 1, 65–71. MR3035157 Schinzel, A. A positive definite binary quadratic form as a sum of five squares of linear forms (completion of Mordell's proof). Bull. Pol. Acad. Sci. Math. 61 (2013), no. 1, 23–26. MR3035154 Aygunes, Aykut Ahmet Higher-order Euler-type polynomials and their applications. Fixed Point Theory Appl. 2013, 2013:40, 11 pp. MR3035077 Mora, G. On the asymptotically uniform distribution of the zeros of the partial sums of the Riemann zeta function. J. Math. Anal. Appl. 403 (2013), no. 1, 120–128. MR3035052 Greaves, Gary ; Taylor, Graeme Lehmer's conjecture for Hermitian matrices over the Eisenstein and Gaussian integers. Electron. J. Combin. 20 (2013), no. 1, Paper 42, 22 pp. MR3035044 Muratović-Ribić ; Wang, Qiang Partitions and compositions over finite fields. Electron. J. Combin. 20 (2013), no. 1, Paper 34, 14 pp. MR3035019 Sun, Zhi-Wei Products and sums divisible by central binomial coefficients. Electron. J. Combin. 20 (2013), no. 1, Paper 9, 14 pp. MR3034528 Bojičić, Radica Hankel transform of a series reversion of a certain rational function. Linear Algebra Appl. 438 (2013), no. 11 , 4237–4248. MR3030296 Malter, Aimeric ; Schleicher, Dierk ; Zagier, Don New looks at old number theory. Amer. Math. Monthly 120 (2013), no. 3, 243–264. MR3030292 Conway, John H. On unsettleable arithmetical problems. Amer. Math. Monthly 120 (2013), no. 3, 192–198. MR3030176 Bogomolny, E. ; Keating, J. P. Two-point correlation function for Dirichlet L -functions. J. Phys. A 46 (2013), no. 9, 095202, 10 pp. MR3038365 Tomanov, George Locally divergent orbits on Hilbert modular spaces. Int. Math. Res. Not. IMRN 2013, no. 6, 1404–1433. MR3034417 Dewar, Michael ; Murty, M. Ram A derivation of the Hardy-Ramanujan formula from an arithmetic formula. Proc. Amer. Math. Soc. 141 (2013), no. 6, 1903–1911. MR3034414 Fuselier, Jenny G. Traces of Hecke operators in level 1 and Gaussian hypergeometric functions. Proc. Amer. Math. Soc. 141 (2013), no. 6, 1871–1881. MR3029386 Marques, Diego ; Sellers, James A. ; Trojovsk, Pavel On divisibility properties of certain Fibonomial coefficients by a prime. Fibonacci Quart. 51 (2013), no. 1, 78–83. MR3029385 Schinzel, A. On divisibility by a k − b k a − b . Fibonacci Quart. 51 (2013), no. 1, 72–77. MR3029384 Shattuck, Mark Combinatorial proofs of determinant formulas for the Fibonacci and Lucas polynomials. Fibonacci Quart. 51 (2013), no. 1, 63–71. MR3029383 Dence, Joseph B. ; Dence, Thomas P. On inverse relations for general Lucas sequences of polynomials. Fibonacci Quart. 51 (2013), no. 1, 55–62. MR3029382 Kuhapatanakul, Kantaphon ; Wasutharat, Rattanapol Expressions for the products of the second order linear recurrences. Fibonacci Quart. 51 (2013), no. 1, 49–54. MR3029380 Marques, Diego The order of appearance of the product of consecutive Lucas numbers. Fibonacci Quart. 51 (2013), no. 1, 38–43. MR3029379 Bagdasar, Ovidiu D. ; Larcombe, Peter J. On the characterization of periodic complex Horadam sequences. Fibonacci Quart. 51 (2013), no. 1, 28–37. MR3029378 Beckwith, Olivia ; Bower, Amanda ; Gaudet, Louis ; Insoft, Rachel ; Li, Shiyu ; Miller, Steven J. ; Tosteson, Philip The average gap distribution for generalized Zeckendorf decompositions. Fibonacci Quart. 51 (2013), no. 1, 13–27. MR3029377 Somer, Lawrence ; Křížek, Michal Easy criteria to determine if a prime divides certain second-order recurrences. Fibonacci Quart. 51 (2013), no. 1, 3–12. MR3034554 Borwein, Jonathan M. ; Straub, Armin Mahler measures, short walks and log-sine integrals. Theoret. Comput. Sci. 479 (2013), 4–21. MR3034377 Bilu, Yuri F. ; Fuchs, Clemens ; Luca, Florian ; Pintér, kos Combinatorial Diophantine equations and a refinement of a theorem on separated variables equations. Publ. Math. Debrecen 82 (2013), no. 1, 219–254. MR3034372 Meštrović, Romeo On the mod p 2 determination of ∑ p − 1 k = 1 H k / ( k ⋅ 2 k ) : another proof of a conjecture by Sun. Publ. Math. Debrecen 82 (2013), no. 1, 107–123. MR3034370 Dai, Li-Xia ; Chen, Yong-Gao On the counting function of Stanley sequences. Publ. Math. Debrecen 82 (2013), no. 1, 91–95. MR3034366 Zhang, Yong ; Cai, Tianxin On the Diophantine equation f ( x ) f ( y ) = f ( z 2 ) . Publ. Math. Debrecen 82 (2013), no. 1, 31–41. MR3034352 Sadek, Mohammad On the Diophantine equation c y l = x p − 1 x − 1 . Publ. Math. Debrecen 82 (2013), no. 2, 373–378. MR3034347 Filipin, Alan ; Fujita, Yasutsugu The number of Diophantine quintuples II. Publ. Math. Debrecen 82 (2013), no. 2, 293–308. MR3034344 Li, Yan ; Ma, Lianrong ; Zhang, Junhua Odd solutions of σ ( n ) − 2 n = 2 have at least six distinct prime factors. Publ. Math. Debrecen 82 (2013), no. 2, 255–266. MR3034320 Broughan, Kevin ; Ford, Kevin ; Luca, Florian On square values of the product of the Euler totient and sum of divisors functions. Colloq. Math. 130 (2013), no. 1, 127–137. MR2013-06-291 for Number Theory.pdf
2013 年5 月份 MR 数据库新增题录文献 10550 篇，其中数论相关文献 238 篇（见附件），现摘录部分如下（如果数学公式显示不完整，请点击 MR 题录号或者浏览附件） ，供数论爱好者参考。 MR3032350 Ozden, Hacer q -Dirichlet type L -functions with weight α . Adv. Difference Equ. 2013, 2013:40, 5 pp. MR3031669 Mahadeva Naika, M. S. ; Dharmendra, B. N. ; Chandan Kumar, S. Some identities for Ramanujan-Gllnitz-Gordon continued fraction. Aust. J. Math. Anal. Appl. 10 (2013), no. 1, Art. 2, 36 pp. MR3031578 Choi, Junesang Finite summation formulas involving binomial coefficients, harmonic numbers and generalized harmonic numbers. J. Inequal. Appl. 2013, 2013:49, 11 pp. MR3026957 Tezuka, M. ; Yagita, N. Note on the cohomological invariant of Pfister forms. Math. J. Okayama Univ. 55 (2013), 87–93. MR3021469 Goldston, D. A. ; Graham, S. W. ; Pintz, J. ; Yıldırım, C. Y. Corrigendum: Small gaps between products of two primes . Proc. Lond. Math. Soc. (3) 106 (2013), no. 2, 477–480. MR3021465 Gillibert, Jean ; Wuthrich, Christian The class group pairing and p -descent on elliptic curves. Proc. Lond. Math. Soc. (3) 106 (2013), no. 2, 345–374. MR3023227 Guo, Li ; Xie, Bingyong Explicit double shuffle relations and a generalization of Euler's decomposition formula. J. Algebra 380 (2013), 46–77. MR3023216 Cheng, Qi ; Zhuang, Jincheng On certain computations of Pisot numbers. Inform. Process. Lett. 113 (2013), no. 8, 271–275. MR3022962 Okazaki, Takeo ; Yamauchi, Takuya Endoscopic lifts to the Siegel modular threefold related to Klein's cubic threefold. Amer. J. Math. 135 (2013), no. 1, 183–205. MR3022961 Aizenbud, Avraham ; Gourevitch, Dmitry Smooth transfer of Kloosterman integrals (the Archimedean case). Amer. J. Math. 135 (2013), no. 1, 143–182. MR3022957 Ichino, Atsushi ; Templier, Nicolas On the Voronoĭ formula for G L ( n ) . Amer. J. Math. 135 (2013), no. 1, 65–101. MR3022947 etin, Muhammed ; Kocayiğit, Hüseyin On the quaternionic Smarandache curves in Euclidean 3-space. Int. J. Contemp. Math. Sci. 8 (2013), no. 1-4, 139–150. MR3022939 Jakimczuk, Rafael Sums of perfect powers. Int. J. Contemp. Math. Sci. 8 (2013), no. 1-4, 61–67. MR3017899 Misiurewicz, Michał Irrational square roots. College Math. J. 44 (2013), no. 1, 53–55. MR3022836 Kim, Hee Sik ; Neggers, J. ; So, Keum Sook Generalized Fibonacci sequences in groupoids. Adv. Difference Equ. 2013, 2013:26, 10 pp. MR3022753 Jun, Byungheup ; Lee, Jungyun Polynomial behavior of special values of partial zeta functions of real quadratic fields at s = 0 . Selecta Math. (N.S.) 19 (2013), no. 1, 97–123. MR3022705 Martin, Greg ; Pollack, Paul The average least character non-residue and further variations on a theme of Erdős. J. Lond. Math. Soc. (2) 87 (2013), no. 1, 22–42. MR3022704 León-Cardenal, E. ; Veys, Willem ; Zúiga-Galindo, W. A. Poles of Archimedean zeta functions for analytic mappings. J. Lond. Math. Soc. (2) 87 (2013), no. 1, 1–21. MR3022332 Cooper, Joshua N. ; Riasanovsky, Alexander W. N. On the reciprocal of the binary generating function for the sum of divisors. J. Integer Seq. 16 (2013), no. 1, Article 13.1.8, 13 pp. MR3022331 Pandey, Ram Krishna On some magnified Fibonacci numbers modulo a Lucas number. J. Integer Seq. 16 (2013), no. 1, Article 13.1.7, 7 pp. MR3022330 Kida, Masanari ; Urata, Yuichiro Involutions on generating functions. J. Integer Seq. 16 (2013), no. 1, Article 13.1.6, 29 pp. MR3022328 Yeliussizov, Damir Power sums of binomial coefficients. J. Integer Seq. 16 (2013), no. 1, Article 13.1.4, 28 pp. MR3022326 Haukkanen, Pentti ; Mattila, Mika ; Merikoski, Jorma K. ; Tossavainen, Timo Can the arithmetic derivative be defined on a non-unique factorization domain? J. Integer Seq. 16 (2013), no. 1, Article 13.1.2, 7 pp. MR3022325 Griffiths, Martin ; Bramham, Alexander Expectations of family sizes subject to minimum numbers of each gender. J. Integer Seq. 16 (2013), no. 1, Article 13.1.1, 10 pp. MR3021514 Chen, Yong-Gao ; Wu, Jian-Dong The inverse problem on subset sums. European J. Combin. 34 (2013), no. 5, 841–845. MR3019251 Džambić, Amir ; Jones, Gareth A. p -adic Hurwitz groups. J. Algebra 379 (2013), 179–207. MR3019138 Berhuy, G. ; Grenier-Boley, N. ; Mahmoudi, M. G. Sums of values represented by a quadratic form. Manuscripta Math. 140 (2013), no. 3-4, 531–556. MR3019133 Kudla, Stephen ; Yang, Tonghai On the pullback of an arithmetic theta function. Manuscripta Math. 140 (2013), no. 3-4, 393–440. MR3019132 Kritzer, Peter ; Larcher, Gerhard On the arrangement of point sets in the unit interval. Manuscripta Math. 140 (2013), no. 3-4, 377–391. MR3019130 Pink, Richard Compactification of Drinfeld modular varieties and Drinfeld modular forms of arbitrary rank. Manuscripta Math. 140 (2013), no. 3-4, 333–361. MR3019129 Bckle, Gebhard Algebraic Hecke characters and strictly compatible systems of abelian mod p Galois representations over global fields. Manuscripta Math. 140 (2013), no. 3-4, 303–331. MR3021816 Lee, Chern-Yang Non-commutative Iwasawa theory of elliptic curves at primes of multiplicative reduction. Math. Proc. Cambridge Philos. Soc. 154 (2013), no. 2, 303–324. MR3021811 Hussain, Mumtaz ; Yusupova, Tatiana On weighted inhomogeneous Diophantine approximation on planar curves. Math. Proc. Cambridge Philos. Soc. 154 (2013), no. 2, 225–241. MR3021809 Goldmakher, Leo ; Louvel, Benot A quadratic large sieve inequality over number fields. Math. Proc. Cambridge Philos. Soc. 154 (2013), no. 2, 193–212. MR3021477 Kritzer, Peter ; Pillichshammer, Friedrich On the existence of low-diaphony sequences made of digital sequences and lattice point sets. Math. Nachr. 286 (2013), no. 2-3, 224–235. MR3021474 Drungilas, Paulius ; Dubickas, Artūras ; Luca, Florian On the degree of compositum of two number fields. Math. Nachr. 286 (2013), no. 2-3, 171–180. MR3021452 Greither, Cornelius ; Popescu, Cristian D. Fitting ideals of ℓ -adic realizations of Picard 1-motives and class groups of global function fields. J. Reine Angew. Math. 675 (2013), 223–247. MR3021451 Barrett, James ; Burns, David Annihilating Selmer modules. J. Reine Angew. Math. 675 (2013), 191–222. MR3020846 Demchenko, Oleg ; Gurevich, Alexander Reciprocity laws through formal groups. Proc. Amer. Math. Soc. 141 (2013), no. 5, 1591–1596. MR3020845 Bodin, Arnaud ; Car, Mireille Waring's problem for polynomials in two variables. Proc. Amer. Math. Soc. 141 (2013), no. 5, 1577–1589. MR3020844 Bringmann, Kathrin ; Folsom, Amanda On the asymptotic behavior of Kac-Wakimoto characters. Proc. Amer. Math. Soc. 141 (2013), no. 5, 1567–1576. MR3020843 Hofer, Roswitha ; Larcher, Gerhard ; Zellinger, Heidrun On the digits of squares and the distribution of quadratic subsequences of digital sequences. Proc. Amer. Math. Soc. 141 (2013), no. 5, 1551–1565. MR3020835 Bosma, Wieb ; Kane, Ben The triangular theorem of eight and representation by quadratic polynomials. Proc. Amer. Math. Soc. 141 (2013), no. 5, 1473–1486. MR3020828 Blomer, Valentin ; Brumley, Farrell The role of the Ramanujan conjecture in analytic number theory. Bull. Amer. Math. Soc. (N.S.) 50 (2013), no. 2, 267–320. MR3020827 Fuchs, Elena Counting problems in Apollonian packings. Bull. Amer. Math. Soc. (N.S.) 50 (2013), no. 2, 229–266. MR3020826 Kontorovich, Alex From Apollonius to Zaremba: local-global phenomena in thin orbits. Bull. Amer. Math. Soc. (N.S.) 50 (2013), no. 2, 187–228. MR3020306 David, Chantal ; Smith, Ethan Elliptic curves with a given number of points over finite fields. Compos. Math. 149 (2013), no. 2, 175–203. MR3020170 Kobayashi, Shinichi The p -adic Gross-Zagier formula for elliptic curves at supersingular primes. Invent. Math. 191 (2013), no. 3, 527–629. MR3021335 Fiz Pontiveros, Gonzalo Sums of dilates in Z p . Combin. Probab. Comput. 22 (2013), no. 2, 282–293. MR3020155 Bringmann, Kathrin ; Guerzhoy, Pavel ; Kent, Zachary ; Ono, Ken Eichler-Shimura theory for mock modular forms. Math. Ann. 355 (2013), no. 3, 1085–1121. MR3020126 Tang, Hengcai Estimates for the Fourier coefficients of symmetric square L -functions. Arch. Math. (Basel) 100 (2013), no. 2, 123–130. MR3019790 Xi, Ping Quadratic residues and non-residues for infinitely many Piatetski-Shapiro primes. Acta Math. Sin. (Engl. Ser.) 29 (2013), no. 3, 515–522. MR3019753 Chen, Chao-Ping New asymptotic expansions related to Somos' quadratic recurrence constant. C. R. Math. Acad. Sci. Paris 351 (2013), no. 1-2, 9–12. MR3019751 Hall, Chris ; Perucca, Antonella On the prime divisors of the number of points on an elliptic curve. C. R. Math. Acad. Sci. Paris 351 (2013), no. 1-2, 1–3. MR3020185 Karadeniz Gzeri, Gül ; Pekin, Ayten ; Kılıman, Adem On the transcendence of some power series. Adv. Difference Equ. 2013, 2013:17, 8 pp. MR3019715 Berndt, Bruce C. ; Kim, Sun ; Zaharescu, Alexandru Circle and divisor problems, and double series of Bessel functions. Adv. Math. 236 (2013), 24–59. MR3019501 Hasegawa, Takehiro Some remarks on superspecial and ordinary curves of low genus. Math. Nachr. 286 (2013), no. 1, 17–33. MR3019423 de la Bretèche, Régis ; Ford, Kevin ; Vandehey, Joseph On non-intersecting arithmetic progressions. Acta Arith. 157 (2013), no. 4, 381–392. MR3019422 Ramaré, Olivier From explicit estimates for primes to explicit estimates for the Mbius function. Acta Arith. 157 (2013), no. 4, 365–379. MR3019421 Dubickas, Artūras ; Jankauskas, Jonas Nonreciprocal algebraic numbers of small Mahler's measure. Acta Arith. 157 (2013), no. 4, 357–364. 更多信息请浏览附件： MR2013-05-238 for Number Theory.pdf 其他信息请浏览： MR2013年4月份数论最新文献题录(附件292条)
关于 MR2013 年 1 月份数论最新文献题录 264 条 ; MR2013 年 2 月份数论最新文献题录 ( 附件 233 条 ); MR2013 年3 月份数论最新文献题录( 附件291 条) 已经有博文报道， 2013 年 4 月份 MR 数据库新增题录文献 10030 篇，其中数论相关文献 292 篇（见附件），现摘录部分如下（如果数学公式显示不完整，请点击 MR 题录号或者浏览附件） ，供数论爱好者参考。 MR3021801 Williams, Kenneth S. Quadratic forms and a product-to-sum formula. Acta Arith. 158 (2013), no. 1, 79–97. MR3021799 Im, Bo-Hae ; Larsen, Michael Infinite rank of elliptic curves over Q ab . Acta Arith. 158 (2013), no. 1, 49–59. MR3021798 Mance, Bill ; Tseng, Jimmy Bounded Lüroth expansions: applying Schmidt games where infinite distortion exists. Acta Arith. 158 (2013), no. 1, 33–47. MR3021797 Lettington, M. C. A trio of Bernoulli relations, their implications for the Ramanujan polynomials and the special values of the Riemann zeta function. Acta Arith. 158 (2013), no. 1, 1–31. MR3010137 Berger, Tobias ; Klosin, Krzysztof On deformation rings of residually reducible Galois representations and R = T theorems. Math. Ann. 355 (2013), no. 2, 481–518. MR3009638 Hakami, Ali H. Small zeros of quadratic forms mod P m . Int. Math. Forum 8 (2013), no. 5-8, 357–367. MR3009625 Rajesh Kanna, M. R. ; Dharmendra, B. N. ; Sridhara, G. ; Pradeep Kumar, R. Generalized bijective proof of the partition identity of M. V. Subbarao. Int. Math. Forum 8 (2013), no. 5-8, 215–222. MR3009511 Włoch, Andrzej Some identities for the generalized Fibonacci numbers and the generalized Lucas numbers. Appl. Math. Comput. 219 (2013), no. 10, 5564–5568. MR3009469 Kim, Dae San ; Park, Kyoung Ho Identities of symmetry for Bernoulli polynomials arising from quotients of Volkenborn integrals invariant under S 3 . Appl. Math. Comput. 219 (2013), no. 10, 5096–5104. MR3009435 Even-Zohar, Chaim ; Lev, Vsevolod F. Small asymmetric sumsets in elementary abelian 2-groups. Discrete Math. 313 (2013), no. 5, 689–692. MR3009424 Fang, Jin-Hui ; Chen, Yong-Gao On finite additive complements. Discrete Math. 313 (2013), no. 5, 595–598. MR3005279 Dumas, Philippe Joint spectral radius, dilation equations, and asymptotic behavior of radix-rational sequences. Linear Algebra Appl. 438 (2013), no. 5, 2107–2126. MR3007140 Rhoades, Robert C. Soft asymptotics for generalized spt-functions. J. Combin. Theory Ser. A 120 (2013), no. 3, 637–643. MR3007134 Kosters, Michiel The subset sum problem for finite abelian groups. J. Combin. Theory Ser. A 120 (2013), no. 3, 527–530. MR3007133 Jones, Timothy G. F. ; Roche-Newton, Oliver Improved bounds on the set A ( A +1) . J. Combin. Theory Ser. A 120 (2013), no. 3, 515–526. MR3007130 Heuberger, Clemens ; Krenn, Daniel Analysis of width- w non-adjacent forms to imaginary quadratic bases. J. Number Theory 133 (2013), no. 5, 1752–1808. MR3007129 Felix, Adam Tyler Higher rank generalizations of Fomenko's conjecture. J. Number Theory 133 (2013), no. 5, 1738–1751. MR3007128 Schoen, Tomasz ; Shkredov, Ilya D. Higher moments of convolutions. J. Number Theory 133 (2013), no. 5, 1693–1737. MR3007127 Pellarin, Federico On the generalized Carlitz module. J. Number Theory 133 (2013), no. 5, 1663–1692. MR3007126 Fujita, Yasutsugu Generators for the elliptic curve y 2 = x 3 − nx of rank at least three. J. Number Theory 133 (2013), no. 5, 1645–1662. MR3007125 Walling, Lynne H. A formula for the action of Hecke operators on half-integral weight Siegel modular forms and applications. J. Number Theory 133 (2013), no. 5, 1608–1644. MR3007124 Gloğlu, Faruk ; McGuire, Gary ; Moloney, Richard Some congruences of Kloosterman sums and their characteristic polynomials. J. Number Theory 133 (2013), no. 5, 1596–1607. MR3007123 Sun, Zhi-Hong Congruences involving ( 2 k k ) 2 ( 3 k k ) . J. Number Theory 133 (2013), no. 5, 1572–1595. MR3007122 Sun, Yidong ; Wu, Xiaojuan ; Zhuang, Jujuan Congruences on the Bell polynomials and the derangement polynomials. J. Number Theory 133 (2013), no. 5, 1564–1571. MR3007121 Weiss, Benjamin L. Probabilistic Galois theory over p -adic fields. J. Number Theory 133 (2013), no. 5, 1537–1563. MR3007119 Vishe, Pankaj A fast algorithm to compute L (1/2, f × χ q ) . J. Number Theory 133 (2013), no. 5, 1502–1524. MR3007118 Brown, Jim ; Keaton, Rodney Level stripping for Siegel modular forms with reducible Galois representations. J. Number Theory 133 (2013), no. 5, 1492–1501. MR3007117 Chen, Hua ; Chen, Jianhua ; Cai, Guangxing ; Ai, Xiaochuan ; Zhang, Silan Explicit formulas for the fourth moment of mixed exponential sums. J. Number Theory 133 (2013), no. 5, 1484–1491. MR3007116 nver, Sinan Drinfel'd-Ihara relations for p -adic multi-zeta values. J. Number Theory 133 (2013), no. 5, 1435–1483. MR3006748 Uzunkol, Osmanbey Generalized class invariants with `Thetanullwerte'. Turkish J. Math. 37 (2013), no. 1, 165–181. MR3006746 Kendirli, Barış Formulas for the Fourier coefficients of cusp form for some quadratic forms (correction to a paper by Ahmet Tekcan with the same title). Turkish J. Math. 37 (2013), no. 1, 139–144. MR3007916 Alizadeh, Mahmood ; Kyuregyan, Melsik K. Factorization of some composite polynomials over finite fields. J. Algebra Appl. 12 (2013), no. 3, 1250180, 6 pp. MR3007911 Dolphin, Andrew Metabolic involutions and quadratic radical extensions. J. Algebra Appl. 12 (2013), no. 3, 1250174, 10 pp. MR3010846 Grenier-Boley, Nicolas ; Hoffmann, Detlev W. Isomorphism criteria for Witt rings of real fields. With an appendix by Claus Scheiderer. Forum Math. 25 (2013), no. 1, 1–18. MR3010467 Chan, O-Yeat ; Manna, Dante On a q -analogue for Bernoulli numbers. Ramanujan J. 30 (2013), no. 1, 125–152. MR3010466 Vnnen, Keijo On Tschakaloff, q -exponential and related functions. Ramanujan J. 30 (2013), no. 1, 117–123. MR3010465 Kumchev, Angel V. On the convergence of some alternating series. Ramanujan J. 30 (2013), no. 1, 101–116. MR3010464 O'Sullivan, Cormac ; Risager, Morten S. Non-vanishing of Taylor coefficients and Poincaré series. Ramanujan J. 30 (2013), no. 1, 67–100. MR3010463 Coons, Michael On the rational approximation of the sum of the reciprocals of the Fermat numbers. Ramanujan J. 30 (2013), no. 1, 39–65. MR3010462 Bruschek, Clemens ; Mourtada, Hussein ; Schepers, Jan Arc spaces and the Rogers-Ramanujan identities. Ramanujan J. 30 (2013), no. 1, 9–38. MR3010461 Yao , Olivia X. M. ; Xia, Ernest X. W. On the 4-dissections of certain infinite products. Ramanujan J. 30 (2013), no. 1, 1–7. MR3010449 Yamada, Mieko Difference sets over Galois rings with odd extension degrees and characteristic an even power of 2. Des. Codes Cryptogr. 67 (2013), no. 1, 37–57. MR3010380 Yalkinoglu, Bora On arithmetic models and functoriality of Bost-Connes systems. With an appendix by Sergey Neshveyev. Invent. Math. 191 (2013), no. 2, 383–425. MR3007293 Colliot-Thélène, Jean-Louis ; Xu, Fei Strong approximation for the total space of certain quadratic fibrations. Acta Arith. 157 (2013), no. 2, 169–199. MR3007292 Cooper, Shaun ; Lam, Heung Yeung ; Ye, Dongxi Representations of squares by certain quinary quadratic forms. Acta Arith. 157 (2013), no. 2, 147–168. MR3007291 Stopple, Jeffrey Repulsive behavior in an exceptional family. Acta Arith. 157 (2013), no. 2, 119–146. MR3007290 Hiranouchi, Toshiro ; Hirayama, Seiji On the cycle map for products of elliptic curves over a p -adic field. Acta Arith. 157 (2013), no. 2, 101–118. MR3005905 Kungozhin, Madeubek ; Kung, Sidney Proof without words: an algebraic inequality. College Math. J. 44 (2013), no. 1, 16. MR3010111 Simpson, Jamie A general two-term recurrence. European J. Combin. 34 (2013), no. 4, 703–705. MR3004162 Srinivas Rau, S. ; Mohan Reddy, G. Sudhaamsh Isospectral flat connexions. Bol. Soc. Parana. Mat. (3) 31 (2013), no. 2, 279–281. MR3004149 Ray, Prasanta Kumar Factorizations of the negatively subscripted balancing and Lucas-balancing numbers. Bol. Soc. Parana. Mat. (3) 31 (2013), no. 2, 161–173. MR3004143 Mohan Reddy, G. Sudhaamsh ; Srinivas Rau, S. ; Uma, B. A Bertrand postulate for a subclass of primes. Bol. Soc. Parana. Mat. (3) 31 (2013), no. 2, 109–111. MR3008931 Mishou, Hidehiko Joint value distribution for zeta functions in disjoint strips. Monatsh. Math. 169 (2013), no. 2, 219–247. MR3008927 Baier, Stephan Exponential sums with coefficients of certain Dirichlet series. Monatsh. Math. 169 (2013), no. 2, 127–143. MR3004481 Monks, Keenan ; Monks, Kenneth G. ; Monks, Kenneth M. ; Monks, Maria Strongly sufficient sets and the distribution of arithmetic sequences in the 3 x +1 graph. Discrete Math. 313 (2013), no. 4, 468–489. MR3004471 Miezaki, Tsuyoshi On a generalization of spherical designs. Discrete Math. 313 (2013), no. 4, 375–380. MR3004469 Chen, Yong-Gao ; Zhou, Xiao-Feng On sequences containing at most 4 pairwise coprime integers. Discrete Math. 313 (2013), no. 4, 357–365. MR3004462 Lyall, Neil ; Magyar, kos Optimal polynomial recurrence. Canad. J. Math. 65 (2013), no. 1, 171–194. MR3004456 Blomer, Valentin ; Brumley, Farrell Non-vanishing of L -functions, the Ramanujan conjecture, and families of Hecke characters. Canad. J. Math. 65 (2013), no. 1, 22–51. MR3004320 Ryoo, C. S. A note on the zeros of twisted q -Euler polynomials with weak weight α . Int. J. Math. Anal. (Ruse) 7 (2013), no. 9-12, 565–570. MR2013-04-292 for Number Theory.pdf
关于 MR2013年1月份数论最新文献题录264条 已经有博文报道， 2013年2月份MR数据库新增题录文献8223篇，其中数论相关文献233条，现摘录部分如下 ，供数论爱好者参考。 MR2988721 Murty, M. R. ; Petersen, Kathleen L. The Euclidean algorithm for number fields and primitive roots. Proc. Amer. Math. Soc. 141 (2013), no. 1, 181–190. MR2988716 Alfes, Claudia Parity of the coefficients of Klein's j -function. Proc. Amer. Math. Soc. 141 (2013), no. 1, 123–130. MR2988714 Katre, S. A. ; Garge, Anuradha S. Matrices over commutative rings as sums of k -th powers. Proc. Amer. Math. Soc. 141 (2013), no. 1, 103–113. MR2988712 Chen, Imin ; Lee, Yoonjin Newton polygons, successive minima, and different bounds for Drinfeld modules of rank 2 . Proc. Amer. Math. Soc. 141 (2013), no. 1, 83–91. MR2988710 Narita, Hiro-aki ; Pitale, Ameya ; Schmidt, Ralf Irreducibility criteria for local and global representations. Proc. Amer. Math. Soc. 141 (2013), no. 1, 55–63. MR2988709 Andersen, Nickolas ; Jenkins, Paul Divisibility properties of coefficients of level p modular functions for genus zero primes. Proc. Amer. Math. Soc. 141 (2013), no. 1, 41–53. MR2988708 Rhoades, Robert C. Families of quasimodular forms and Jacobi forms: the crank statistic for partitions. Proc. Amer. Math. Soc. 141 (2013), no. 1, 29–39. MR3012215 Li, Fuhuo ; Wang, Nianliang ; Kanemitsu, Shigeru Number theory and its applications. World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2013. xiv+194 pp. ISBN: 978-981-4425-63-6 MR2986972 Tretkoff, Paula ; Tretkoff, Marvin D. A transcendence criterion for CM on some families of Calabi-Yau manifolds. From Fourier analysis and number theory to radon transforms and geometry, 475–490, Dev. Math., 28, Springer, New York, 2013. MR2986967 Kohnen, Winfried ; Pribitkin, Wladimir de Azevedo On an oscillatory result for the coefficients of general Dirichlet series. From Fourier analysis and number theory to radon transforms and geometry, 371–374, Dev. Math., 28, Springer, New York, 2013. MR2986965 Knopp, Marvin ; Mason, Geoffrey Vector-valued modular forms with an unnatural boundary. From Fourier analysis and number theory to radon transforms and geometry, 341–352, Dev. Math., 28, Springer, New York, 2013. MR2986964 Kazhdan, David On a theorem of N. Katz and bases in irreducible representations. From Fourier analysis and number theory to radon transforms and geometry, 335–340, Dev. Math., 28, Springer, New York, 2013. MR2986961 Guerzhoy, P. On the Honda-Kaneko congruences. From Fourier analysis and number theory to radon transforms and geometry, 293–302, Dev. Math., 28, Springer, New York, 2013. MR2986958 Farkas, Hershel M. A matrix related to the theorem of Fermat and the Goldbach conjecture. From Fourier analysis and number theory to radon transforms and geometry, 217–232, Dev. Math., 28, Springer, New York, 2013. MR2986955 Bringmann, Kathrin ; Kane, Ben ; Rhoades, Robert C. Duality and differential operators for harmonic Maass forms. From Fourier analysis and number theory to radon transforms and geometry, 85–106, Dev. Math., 28, Springer, New York, 2013. MR2986953 Blann, Thomas ; Diamantis, Nikolaos Second-order modular forms with characters. From Fourier analysis and number theory to radon transforms and geometry, 55–66, Dev. Math., 28, Springer, New York, 2013. MR2986952 Beck, Matthias ; Braun, Benjamin ; Le, Nguyen Mahonian partition identities via polyhedral geometry. From Fourier analysis and number theory to radon transforms and geometry, 41–54, Dev. Math., 28, Springer, New York, 2013. MR2986950 Andrews, George E. Difference of partition functions: the anti-telescoping method. From Fourier analysis and number theory to radon transforms and geometry, 1–20, Dev. Math., 28, Springer, New York, 2013. MR2984314 Zhang, Wenlong New formulae of BBP-type with different moduli. J. Math. Anal. Appl. 398 (2013), no. 1, 46–60. MR2983039 Zhang, Yong ; Cai, Tianxin N-tuples of positive integers with the same sum and the same product. Math. Comp. 82 (2013), no. 281, 617–623. MR2983034 Miller, Robert L. ; Stoll, Michael Explicit isogeny descent on elliptic curves. Math. Comp. 82 (2013), no. 281, 513–529. MR2983033 Farashahi, Reza R. ; Fouque, Pierre-Alain ; Shparlinski, Igor E. ; Tibouchi, Mehdi ; Voloch, J. Felipe Indifferentiable deterministic hashing to elliptic and hyperelliptic curves. Math. Comp. 82 (2013), no. 281, 491–512. MR2981415 Ezome, Tony ; Lercier, Reynald Elliptic periods and primality proving. J. Number Theory 133 (2013), no. 1, 343–368. MR2981414 Reznikov, Andre Torus period coefficients on PGL(2) and Dirichlet series. J. Number Theory 133 (2013), no. 1, 328–342. MR2981413 Reinholz, Lindsey ; Spearman, Blair K. ; Yang, Qiduan Families of non-congruent numbers with arbitrarily many prime factors. J. Number Theory 133 (2013), no. 1, 318–327. MR2981412 Letang, Delia Automorphic spectral identities and applications to automorphic L -functions on G L 2 . J. Number Theory 133 (2013), no. 1, 278–317. MR2981411 Albeverio, Sergio ; Cacciapuoti, Claudio The Riemann zeta in terms of the dilogarithm. J. Number Theory 133 (2013), no. 1, 242–277. MR2981410 El Bachraoui, Mohamed Sums of Liouville type over primitive pairs and quadruples and some integer representations. J. Number Theory 133 (2013), no. 1, 226–241. MR2981409 Chen, Ching-An ; Leu, Ming-Guang On a proposition of Samuel and 2-stage Euclidean algorithm in global fields. J. Number Theory 133 (2013), no. 1, 215–225. MR2981408 Charles, Richard ; Huber, Tim ; Mendoza, Andoni Parameterizations for quintic Eisenstein series. J. Number Theory 133 (2013), no. 1, 195–214. MR2981407 Godinho, Hemar ; Knapp, Michael P. ; Rodrigues, Paulo H. A. Pairs of additive sextic forms. J. Number Theory 133 (2013), no. 1, 176–194. MR2981405 Mattarei, Sandro ; Tauraso, Roberto Congruences for central binomial sums and finite polylogarithms. J. Number Theory 133 (2013), no. 1, 131–157. MR2981404 Virdol, Cristian The meromorphic continuation of the zeta function of a product of Hilbert and Picard modular surfaces over CM-fields. J. Number Theory 133 (2013), no. 1, 123–130. MR2981403 Jeon, Daeyeol ; Kim, Chang Heon ; Lee, Yoonjin Infinite families of elliptic curves over dihedral quartic number fields. J. Number Theory 133 (2013), no. 1, 115–122. MR2981402 Boylan, Hatice ; Skoruppa, Nils-Peter A quick proof of reciprocity for Hecke Gauss sums. J. Number Theory 133 (2013), no. 1, 110–114. MR2981401 Meng, Xianmeng On RSA moduli with half of the bits prescribed. J. Number Theory 133 (2013), no. 1, 105–109. MR2981400 Godber, Daniel Additive twists of Fourier coefficients of modular forms. J. Number Theory 133 (2013), no. 1, 83–104. MR2981399 Alnaser, Ala' Jamil Bounds for Waring's number mod P m in number fields. J. Number Theory 133 (2013), no. 1, 72–82. MR2981398 Leriche, Amandine Cubic, quartic and sextic Pólya fields. J. Number Theory 133 (2013), no. 1, 59–71. MR2981397 Mukhamedov, Farrukh ; Saburov, Mansoor On equation x q = a over Q p . J. Number Theory 133 (2013), no. 1, 55–58. MR2981396 Nakamura, Takashi ; Tasaka, Koji Remarks on double zeta values of level 2. J. Number Theory 133 (2013), no. 1, 48–54. MR2981395 Matthes, Roland Regularized theta lifts and Niebur-type Poincaré series on n -dimensional hyperbolic space. J. Number Theory 133 (2013), no. 1, 20–47. MR2981394 Mu, Quanwu ; Wu, Qiang The measure of totally positive algebraic integers. J. Number Theory 133 (2013), no. 1, 12–19. MR2981393 Xia, Li-meng The parameterized-Euler-constant function γ α ( z ) . J. Number Theory 133 (2013), no. 1, 1– 11 . MR2963942 Shparlinski, Igor E. Elliptic curves over finite fields: number theoretic and cryptographic aspects. Advances in applied mathematics, modeling, and computational science, 65–90, Fields Inst. Commun., 66, Springer, New York, 2013. MR2979591 Kim, Min-Soo ; Lee, Jun Ho On sums of products of the extended q -Euler numbers. J. Math. Anal. Appl. 397 (2013), no. 2, 522–528. MR3013273 Frolenkov, D. A. The mean value of Frobenius numbers with three arguments. (Russian) Izv. Ross. Akad. Nauk Ser. Mat. 76 (2012), no. 4, 125–184. MR3012220 Gaboury, S. ; Tremblay, R. ; Fugère, J. On Barnes multiple Hurwitz zeta functions and Dirichlet-type multiple L -functions related to a unified class of polynomials. Far East J. Appl. Math. 68 (2012), no. 1, 1–19. MR2990629 Bennett, Michael A. ; Bugeaud, Yann ; Mignotte, Maurice Perfect powers with few binary digits and related Diophantine problems, II. Math. Proc. Cambridge Philos. Soc. 153 (2012), no. 3, 525–540. MR2990626 Ward, Thomas Congruences for convolutions of Hilbert modular forms. Math. Proc. Cambridge Philos. Soc. 153 (2012), no. 3, 471–487. MR2990624 Le Boudec, Pierre Manin's conjecture for a cubic surface with 2 A 2 + A 1 singularity type. Math. Proc. Cambridge Philos. Soc. 153 (2012), no. 3, 419–455. MR2987064 Hu, Yongzhong ; Le, Maohua On the number of solutions of the generalized Ramanujan-Nagell equation D 1 x 2 + D m 2 = p n . Bull. Math. Soc. Sci. Math. Roumanie (N.S.) 55(103) (2012), no. 3, 279–293. MR2990504 Aslam Malik, M. ; Husnine, S. M. ; Majeed, Abdul Action of the Mbius group M = ⟨ x , y : x 2 = y 6 = 1 ⟩ on certain real quadratic fields. Punjab Univ. J. Math. (Lahore) 44 (2012), 31–37. MR2990153 Shparlinski, Igor E. On the distribution of solutions to polynomial congruences. Arch. Math. (Basel) 99 (2012), no. 4, 345–351. MR2990144 MacMillan, Kieren ; Sondow, Jonathan Divisibility of power sums and the generalized Erdős-Moser equation. Elem. Math. 67 (2012), no. 4, 182–186. MR2988565 Grau, José María ; Oller-Marcén, Antonio M. On k -Lehmer numbers. Integers 12 (2012), no. 5, 1081–1089. MR2988563 Mihoubi, Miloud ; Maamra, Mohammed Said The ( r 1 , … , r p ) -Stirling numbers of the second kind. Integers 12 (2012), no. 5, 1047–1059. MR2988560 Ushiroya, Noboru Mean-value theorems for multiplicative arithmetic functions of several variables. Integers 12 (2012), no. 5, 989–1002. MR2988559 Devlin, Patrick Integer subsets with high volume and low perimeter. Integers 12 (2012), no. 5, 965–987. MR2988558 Wright, Thomas The impossibility of certain types of Carmichael numbers. Integers 12 (2012), no. 5, 951–964. MR2988557 Miller, Steven J. ; Robinson, Luc ; Pegado, Sean Explicit constructions of large families of generalized more sums than differences sets. Integers 12 (2012), no. 5, 935–949. MR2988555 López, Josefina ; Stoll, Peter The 2-adic, binary and decimal periods of 1 / 3 k approach full complexity for increasing k . Integers 12 (2012), no. 5, 907–928. MR2988554 Balog, Antal ; Broughan, Kevin A. ; Shparlinski, Igor E. Sum-products estimates with several sets and applications. Integers 12 (2012), no. 5, 895–906. MR2988553 Kim, Byeong Moon ; Rho, Yoomi Van der Waerden's theorem on homothetic copies of { 1 , 1 + s , 1 + s + t } . Integers 12 (2012), no. 5, 877–893. MR2988552 Fares, Youssef ; Johnson, Keith The characteristic sequence and p -orderings of the set of d -th powers of integers. Integers 12 (2012), no. 5, 865–876. MR2988550 Broughan, Kevin A. ; Zhou, Qizhi Odd repdigits to small bases are not perfect. Integers 12 (2012), no. 5, 841–858. MR2988549 Crandall, Richard The googol-th bit of the Erdős-Borwein constant. Integers 12 (2012), no. 5, 811–840. MR2988527 Moshchevitin, Nikolay G. Positive integers: counterexample to W. M. Schmidt's conjecture. Mosc. J. Comb. Number Theory 2 (2012), no. 2, 63–84. MR2988525 German, Oleg N. On Diophantine exponents and Khintchine's transference principle. Mosc. J. Comb. Number Theory 2 (2012), no. 2, 22–51. MR2988524 Bundschuh, Peter ; Vnnen, Keijo Arithmetical results on certain q -series, IV. Mosc. J. Comb. Number Theory 2 (2012), no. 2, 3–21. MR2988178 Yildiz, Bahattin A lemma on binomial coefficients and applications to Lee weights modulo 2 e of codes over Z 4 . Des. Codes Cryptogr. 65 (2012), no. 3, 177–185. MR2987883 Ryoo, C. S. A note on the generalized q -Euler numbers and polynomials with weak weight α . Int. Math. Forum 7 (2012), no. 57-60, 2891–2896. MR2987882 Jakimczuk, Rafael On the number of primes in n ! . Int. Math. Forum 7 (2012), no. 57-60, 2885–2890. MR2986890 Tarkhanov, N. A simple numerical approach to the Riemann hypothesis. Complex analysis and potential theory, 21–32, CRM Proc. Lecture Notes, 55, Amer. Math. Soc., Providence, RI, 2012. MR2989519 Kim, Henry H. Second moments of twisted Koecher-Maass series. Abh. Math. Semin. Univ. Hambg. 82 (2012), no. 2, 153–172. MR2989518 Katsurada, H. ; Mizumoto, S. Congruences for Hecke eigenvalues of Siegel modular forms. Abh. Math. Semin. Univ. Hambg. 82 (2012), no. 2, 129–152. MR2988388 Trevio, Enrique On the maximum number of consecutive integers on which a character is constant. Mosc. J. Comb. Number Theory 2 (2012), no. 1, 56–72. MR2988385 Balog, Antal ; Dartyge, Cecile On the sum of the digits of multiples. Mosc. J. Comb. Number Theory 2 (2012), no. 1, 3–15. MR2986929 Ohno, Yasuo ; Sasaki, Yoshitaka On the parity of poly-Euler numbers. Algebraic number theory and related topics 2010, 271–278, RIMS Kkyroku Bessatsu, B32, Res. Inst. Math. Sci. (RIMS), Kyoto, 2012. MR2986928 Shimizu, Kenichi Imaginary quadratic fields whose exponents are less than or equal to two, II. Algebraic number theory and related topics 2010, 255–269, RIMS Kkyroku Bessatsu, B32, Res. Inst. Math. Sci. (RIMS), Kyoto, 2012. 更多信息请下载附件进行浏览： MR2013-02-233 for Number Theory.pdf
美国《 数学评论》数据库（MRDB, http://www.ams.org/home/page ）题录数论研究文献，先后已经有几篇博文进行过报道：如 2012 年 4 月份 MRDB 题录数论最新文献 246 篇 ， http://blog.sciencenet.cn/blog-212210-568217.html ； 5 月份 MRDB 题录数论最新研究文献 311 篇， http://blog.sciencenet.cn/blog-212210-577496.html ； 6 月份 MRDB 题录数学文献 15957 篇，其中题录数论最新文献 234 篇， http://blog.sciencenet.cn/blog-212210-588048.html 更多信息请浏览附件 June 2012-Number theory.pdf ； 7 月份 MRDB 题录数学文献 9066 篇，其中 题录数论最新文献273 篇 ； http://blog.sciencenet.cn/blog-212210-598187.html ; 8 月份 MRDB 题录数学文献 10720 篇，其中 题录数论最新文献 333 篇， http://blog.sciencenet.cn/blog-212210-608354.html 9 月份 MRDB 题录数学文献9 161 篇，其中 题录数论最新文献174篇 ； 10 月份 MRDB 题录数学文献10354篇，其中 题录数论最新文献194 篇, http://blog.sciencenet.cn/blog-212210-628575.html ; 11 月份 MRDB 题录数学文献10055篇，其中 题录数论最新文献293篇 http://blog.sciencenet.cn/blog-212210-638332.html 12 月份 MRDB 题录数学文献6549篇，其中 题录数论最新文献136篇 下面列出部分题录结果，更多信息请浏览附件。 MR2977413 Deitmar, Anton Automorphic forms. Translated from the 2010 German original. Universitext. Springer, London, 2013. x+252 pp. ISBN: 978-1-4471-4434-2; 978-1-4471-4435-9 MR2977354 Ebeling, Wolfgang Lattices and codes. A course partially based on lectures by Friedrich Hirzebruch. Third edition. Advanced Lectures in Mathematics. Springer Spektrum, Wiesbaden, 2013. xvi+167 pp. ISBN: 978-3-658-00359-3; 978-3-658-00360-9 MR2978005 Achimescu, S. ; Alexandru, V. ; Popescu, N. ; Vajaitu, M. ; Zaharescu, A. The behavior of rigid analytic functions around orbits of elements of C p . Rend. Semin. Mat. Univ. Padova 127 (2012), 193–211. ISBN: 978-88-7784-337-1 MR2977997 Seveso, Marco Adamo The arithmetic theory of local constants for abelian varieties. Rend. Semin. Mat. Univ. Padova 127 (2012), 17–39. ISBN: 978-88-7784-337-1 MR2977911 Blondeau-Fournier, Olivier ; Mathieu, Pierre ; Welsh, Trevor A. Half-lattice paths and Virasoro characters. Fund. Inform. 117 (2012), no. 1-4, 57–83. MR2977641 Rim, Seog-Hoon ; Jeong, Joohee A note on the q -Euler numbers and polynomials with weight ( α , w ) . Honam Math. J. 34 (2012), no. 2, 183–190. MR2975825 Wang, Weiping ; Liu, Hongmei Some identities from the q -binomial transform. Util. Math. 88 (2012), 91–106. MR2954465 Baker, Alan A comprehensive course in number theory. Cambridge University Press, Cambridge, 2012. xvi+251 pp. ISBN: 978-1-107-60379-0 MR2961298 Miernowski, Tomasz ; Nogueira, Arnaldo Absorbing sets of homogeneous subtractive algorithms. Monatsh. Math. 167 (2012), no. 3-4, 547–569. MR2961296 Loridant, Benoît Crystallographic number systems. Monatsh. Math. 167 (2012), no. 3-4, 511–529. MR2961294 Le Boudec, Pierre Manin's conjecture for a quartic del Pezzo surface with A 3 singularity and four lines. Monatsh. Math. 167 (2012), no. 3-4, 481–502. MR2961288 Barreira, Luis ; Valls, Claudia Frequencies of digits under trigonometric perturbations. Monatsh. Math. 167 (2012), no. 3-4, 357–374. 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美国《 数学评论》数据库（MRDB, http://www.ams.org/home/page ）题录数论研究文献，先后已经有几篇博文进行过报道：如 2012 年 4 月份 MRDB 题录数论最新文献 246 篇 ， http://www.ams.org/home/page ； 5 月份 MRDB 题录数论最新研究文献 311 篇， http://www.ams.org/home/page ； 6 月份 MRDB 题录数学文献 15957 篇，其中题录数论最新文献 234 篇， http://blog.sciencenet.cn/blog-212210-588048.html 更多信息请浏览附件 June 2012-Number theory.pdf ； 7 月份 MRDB 题录数学文献 9066 篇，其中 题录数论最新文献273 篇 ； http://blog.sciencenet.cn/blog-212210-598187.html ; 8 月份 MRDB 题录数学文献 10720 篇，其中 题录数论最新文献 333 篇， http://blog.sciencenet.cn/blog-212210-608354.html 9 月份 MRDB 题录数学文献9 161 篇，其中 题录数论最新文献174篇 ； 10 月份 MRDB 题录数学文献10354篇，其中 题录数论最新文献194 篇, http://blog.sciencenet.cn/blog-212210-628575.html ; 11 月份 MRDB 题录数学文献10055篇，其中 题录数论最新文献293篇 下面列出部分题录结果，更多信息请浏览附件。 MR2976377 Rim, Seog-Hoon ; Jeong, Joo-Hee ; Lee, Sun-Jung ; Moon, Eun-Jung ; Jin, Joung-Hee On the symmetric properties for the generalized twisted Genocchi polynomials. Ars Combin. 105 (2012), 267–272. MR2976376 Parpar, Tuğba ; Nalli, Ayşe On the recursive sequence order-k. 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Graduate Studies in Mathematics, 142. American Mathematical Society, Providence, RI, 2012. x+187 pp. ISBN: 978-0-8218-8986-2 MR2976303 Muthumalai, Ramesh Kumar Some properties and applications of generalized Bernoulli polynomials. Int. J. Appl. Math. 25 (2012), no. 1, 83–93. MR2956171 Pomykała, Jacek ; Źrałek, Bartosz On reducing factorization to the discrete logarithm problem modulo a composite. Comput. Complexity 21 (2012), no. 3, 421–429. MR2955526 Coons, Michael A correlation identity for Stern's sequence. Integers 12 (2012), no. 3, 459–464. MR2955525 Bidar, Mohammadreza Partition of an integer into distinct bounded parts, identities and bounds. Integers 12 (2012), no. 3, 445–457. MR2955523 Ahmed, Tanbir On computation of exact van der Waerden numbers. Integers 12 (2012), no. 3, 417–425. MR2955521 Cochrane, Todd ; Cipra, James Sum-product estimates applied to Waring's problem over finite fields. Integers 12 (2012), no. 3, 385–403. MR2955520 Mansour, Toufik ; Shattuck, Mark A recurrence related to the Bell numbers. Integers 12 (2012), no. 3, 373–384. MR2955518 Li, Taiyu ; Tang, Hengcai On a theorem of Prachar involving prime powers. Integers 12 (2012), no. 3, 321–344. MR2955204 Bringmann, Kathrin ; Raum, Martin ; Richter, Olav K. Kohnen's limit process for real-analytic Siegel modular forms. Adv. Math. 231 (2012), no. 2, 1100–1118. MR2955198 Miller, Stephen D. ; Schmid, Wilfried On the rapid decay of cuspidal automorphic forms. Adv. Math. 231 (2012), no. 2, 940–964. MR2954999 Walling, Lynne H. Hecke eigenvalues and relations for degree 2 Siegel Eisenstein series. J. Number Theory 132 (2012), no. 11 , 2700–2723. MR2012-11-293 for Number Theory.pdf
对于美国《数学评论》题录数论研究文献，从 2012 年 4 月延安会议之后，就已经开始关注，先后由几篇博文进行过报道：如 2012 年 4 月份 MR 题录数论最新文献 246 篇 ， http://blog.sciencenet.cn/blog-212210-568217.html ； 5 月份 MR 题录数论最新研究文献 311 篇， http://blog.sciencenet.cn/blog-212210-577496.html ； 6 月份 MR 题录数学文献 15957 篇，其中题录数论最新文献 234 篇，更多信息请浏览附件 June 2012-Number theory.pdf ； 7 月份 MR 题录数学文献 9066 篇，其中 题录数论最新文献273 篇 ； 8 月份 MR 题录数学文献 10720 篇，其中 题录数论最新文献 333 篇 ；下面列出部分题录结果，更多信息请浏览附件。 MR2951975 Wang, Tingting ; Zhang, Wenpeng Some identities involving Fibonacci, Lucas polynomials and their applications. Bull. Math. Soc. Sci. Math. Roumanie (N.S.) 55(103) (2012), no. 1, 95–103. MR2951974 Tall, Amadou A generalization of the Lucas addition chains. Bull. Math. Soc. Sci. Math. Roumanie (N.S.) 55(103) (2012), no. 1, 79–93. MR2951973 Stan, Florin ; Zaharescu, Alexandru The Siegel norm of algebraic numbers. Bull. Math. Soc. Sci. Math. Roumanie (N.S.) 55(103) (2012), no. 1, 69–77. 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2012年4月份MR 题录数论最新文献246篇 ， http://blog.sciencenet.cn/blog-212210-568217.html 5月份MR题录数论最新研究文献311篇， http://blog.sciencenet.cn/blog-212210-577496.html 6月份MR题录数学文献15957篇，其中题录数论最新文献234篇，更多信息请浏览附件 June 2012-Number theory.pdf 7月份MR题录数学文献9066篇，其中题录数论最新文献273篇，更多信息请浏览附件 MR2012-07-273 for Number Theory.pdf MR2933541 Rim, Seog-Hoon ; Kim, Tae-Kyun ; Lee, Byung-Je Some identities on the extended Carlitz's q q -Bernoulli numbers and polynomials. J. Comput. Anal. Appl. 14 (2012), no. 3, 536–543. MR2933538 Kim, T. ; Lee, B. ; Ryoo, C. S. Some relationship between q q -Bernstein polynomials and extended q q -Euler numbers. J. Comput. Anal. Appl. 14 (2012), no. 3, 507–515. MR2933487 Patankar, Vijay M. ; Rajan, C. S. Locally potentially equivalent Galois representations. J. Ramanujan Math. Soc. 27 (2012), no. 1, 77–90. MR2933486 Cooper, Shaun Level 10 analogues of Ramanujan's series for 1 / π 1/\pi . J. Ramanujan Math. Soc. 27 (2012), no. 1, 59–76. MR2933475 Bayad, A. ; Choi, J. ; Kim, T. ; Kim, Y. 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对于美国《数学评论》数据库（MRDB）2011年11月到2012年3月的数论研究文献题录已有报道（ http://blog.sciencenet.cn/blog-212210-562076.html ），现在对于2012年4月MRDB题录的最新文献9984条中数论类文献246篇摘录如下，以供参考。其中有些数学关系式显示可能会出现差错，但是点击前面MR文摘号，即可链接到MRDB，详细阅读原文（注意可能需要注册或者必须是包库用户方可使用）。 MR2862037 Fuchs, Clemens ; Zannier, Umberto Composite rational functions expressible with few terms. J. Eur. Math. Soc. (JEMS) 14 (2012), no. 1, 175–208. MR2894618 Ash, Avner ; Gross, Robert Elliptic tales. Curves, counting, and number theory. Princeton University Press, Princeton, NJ, 2012. xxii+253 pp. ISBN: 978-0-691-15119-9 MR2862393 Zhang, Wenpeng A mean value related to D. H. Lehmer's problem and the Ramanujan's sum. Glasg. Math. J. 54 (2012), no. 1, 155–162. MR2862392 Zhu, Minhui ; Wang, Tingting The divisibility of the class number of the imaginary quadratic field $\bold Q(\sqrt{2\sp {2m}-k\sp n})$ Q ( 2 2 m − k n − − − − − − − √ ) \bold Q(\sqrt{2\sp {2m}-k\sp n}) . Glasg. Math. J. 54 (2012), no. 1, 149–154. 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MR2853093 Shen, Luming ; Fang, Kui The fractional dimensional theory in Lüroth expansion. Czechoslovak Math. J. 61(136) (2011), no. 3, 795–807. MR2853089 Guo, Xiaoyan ; Zhang, Wenpeng A hybrid mean value related to certain Hardy sums and Kloosterman sums. Czechoslovak Math. J. 61(136) (2011), no. 3, 759–769. MR2777812 Arias-de-Reyna, Sara ; Vila, Núria Galois representations and the tame inverse Galois problem. WIN—women in numbers, 277–288, Fields Inst. Commun., 60, Amer. Math. Soc., Providence, RI, 2011. MR2777811 Ramdorai, Sujatha On the $\mu$ μ \mu -invariant in Iwasawa theory. WIN—women in numbers, 265–276, Fields Inst. Commun., 60, Amer. Math. Soc., Providence, RI, 2011. MR2777803 Berger, Lisa ; Hoelscher, Jing Long ; Lee, Yoonjin ; Paulhus, Jennifer ; Scheidler, Renate The $\ell$ ℓ \ell -rank structure of a global function field. WIN—women in numbers, 145–166, Fields Inst. Commun., 60, Amer. Math. Soc., Providence, RI, 2011. MR2777802 Bucur, Alina ; David, Chantal ; Feigon, Brooke ; Lalín, Matilde Biased statistics for traces of cyclic $p$ p p -fold covers over finite fields. WIN—women in numbers, 121–143, Fields Inst. Commun., 60, Amer. Math. Soc., Providence, RI, 2011. MR2777800 Mantovan, Elena $l$ l l -adic étale cohomology of PEL type Shimura varieties with non-trivial coefficients. WIN—women in numbers, 61–83, Fields Inst. Commun., 60, Amer. Math. Soc., Providence, RI, 2011. MR2777799 Grundman, Helen ; Johnson-Leung, Jennifer ; Lauter, Kristin ; Salerno, Adriana ; Viray, Bianca ; Wittenborn, Erika Igusa class polynomials, embeddings of quartic CM fields, and arithmetic intersection theory. WIN—women in numbers, 35–60, Fields Inst. Commun., 60, Amer. Math. Soc., Providence, RI, 2011. MR2777797 Grundman, Helen Hilbert modular variety computations. WIN—women in numbers, 3–14, Fields Inst. Commun., 60, Amer. Math. Soc., Providence, RI, 2011. MR2777796 WIN—women in numbers. 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《大学数学辑刊》（Math Colloquium of Chinses Universities,简写为Math Colloq. Chin. Univ.，简称MCCU）是依托《宝鸡文理学院学报（自然科学版）》对外交流的历史背景，由陕西宝鸡文理学院学报学报编辑部与陕西、浙江、河南、安徽、江苏、山东、山西、湖北等省多家高校学报编辑部合作联办的优秀数学论文集，汇集了其它尚未入选MR国际著名数学文献检索数据库的高校学报已经发表的优秀数学论文，经过筛选，统一改排、适当修改，在充分体现来源期刊标识的情况下，编辑汇册。MCCU是一种面向国际数学二次文献数据库进行交流的数学论文专集，旨在实现分散发表的优秀数学论文集约化，促进国际学术交流，为欲参与国际学术交流而无法入选国际著名数学二次文献检索数据库的优秀数学论文，提供参与交流的平台，逐步培养使其真正成为我国普通高校学报优秀数学论文对外交流的知名窗口。 20世纪90年代以来，我国高校学报入选国外著名二次文献检索数据库取得了长足发展，以德国《数学文摘》（Zentralblatt MATH，简称ZBl）为例，1999年收录中国高校期刊只有55种，2003年几乎比1999年翻了一番，达到近百种，美国《数学评论》（MR）2003年收录中国高校学报77种，2004年达到80余种。我国更多的高校学报入选国际著名数学二次文献数据库无疑是一件好事，然而任何事情都是一分为二的，入选期刊越多，竞争会愈激烈。2006年4月中旬检索结果表明，我国高校学报被MR数据库摘评的历史可以追溯到20世纪40年代 ，《Sci. Rep. Nat. Tsing Hua Univ. (A)》 19 40年开始被MR数据库摘评。截止2010年10月，不完全统计结果表明，我国高校学报累计有上百种曾经被MR数据库列为摘评来源期刊，但2007年前后有30余种入选多年的高校学报相继被淘汰，上个世纪末至本世纪初的高校合并与更名运动，使一些高校学报因为更名、合校而导致摘评中断，也有多家学报被淘汰出局，进入21世纪以来虽然 我国进入MR数据库的期刊累计超过180种 ，但 是经过2007年前后的淘汰与筛选，目前依然保留在MR数据库的中国期刊只有130种左右，其中高校学报约占1/3左右。《宝鸡文理学院学报（自然科学版）》（J. BAOJI COLL. ARTS SCI. NAT. SCI.）虽然1995年已经先后入选ZBl和MR数据库，由于所载数学论文比例十分有限，加之大量学报潮水般地涌向美国MR编辑部，因此MR编辑部不得不重新考虑收录中国期刊源的遴选问题。我们也曾经介绍其他院校学报（如《绍兴文理学院学报》、《合肥工业大学学报》、《湖州师范学院学报》、《杭州师范学院学报》现在的《杭州师范大学学报：自然科学版》）入选国际数学文献数据库的同时，《宝鸡文理学院学报（自然科学版）》却面临着被驱除出去的危机。就在学院要求学报编辑部在2004年将《宝鸡文理学院学报》英文名称（Journal of Baoji College of Arts and Sciences）更为Journal of Baoji University of Arts and Sciences之时，我们前提半年写信与MR编辑部联系，收到MR编辑部有关人士的回信让人心寒，通知我们2004年不必再寄刊样，因为可能被列入裁减对象之一。面对如此冷酷的回音，出路又在何方？经过反复交涉，得知其主要原因是数学稿件比例太少，而且MR编辑部在回信谈到，如果能够出版纯数学期刊，可以考虑是否适合列入收录期刊源重新进行审查，这无疑是对我们现行办刊模式的一种冲击。 2003年10月，在中国高校自然科学学报研究会第9次学术年会上，我们为大会提交了《集约优化，突出特色，开创中国高校学报新局面——CA、MR、ZBl、INSPEC数据库2003统计报告》，本人在主编论坛进行了大会发言，会后积极与其他高校学报编辑协商，如何进军国际著名专业文献检索系统的应对措施，并为筹办《大学数学辑刊》做准备工作，后来先后得到了浙江湖州师范学院学报编辑部吴志慧编审、绍兴文理学院学报编辑部翁胜兰编审（已经退休）、杭州师范学院学报编辑部方岩编审；江西宜春学院理学院梅光泉教授、江西赣南师范学院学报编辑部、山东菏泽学院学报编辑部成广兴教授、河南南阳师范学院学报编辑部陆宜新编审等编辑同仁或者单位的大力支持与协助，2003年10月末开始与MR编辑部联系，2004年年初，MCCU第一期终于问世，PDF文件通过电子邮件寄往美国，经过专家近半年的详细审查，2004年6月2日收到美国MR有关人士的回信，告知我们顺利通过，同意作为MR数据库收录期刊源 。这不仅是对我们办刊理念创新的一种社会认可，也无疑对中国高校学报办刊模式的改革，对中国普通高校学报走出国门，开创未来的新局面是一种促进和表率，同时为我国普通高校学报优秀数学论文参与国际学术交流，架起了一座桥梁，搭建了一个平台。2004-2007年之间，累计有429篇论文被MR数据库摘录或者评论。2007年之后被淘汰，但是我们的MCCU没有因为淘汰而中断，一直坚持精选与提高并重，在提高推荐论文质量上下功夫。 2010年第1-4期推荐 了5 6篇论文，2011年计划压缩到2期。下面是2010年第1-4期56篇论文的合订本，欢迎批评指正。 MCCU2010(1-4).pdf
标签: 数学评论
