MR2015年5月份数论最新文献题录233条（见附件） 

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关于美国《数学评论》（MR）数据库题录数论研究最新信息，从2012年4月以来已经连续搜索与转载报道有几年时间了，2013年1-12月的逐月统计结果已有报道，见MR2013年12月份数论最新文献题录241条。MR2014年1～12月份数论题录文献检索结果,详见：

MR2014年12月份数论研究最新文献题录197条，

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MR2015年5月份收录文献总量为9417条，其中数论研究最新文献题录233条，摘录部分如下（可能存在数学公式无法准确显示或者出现乱码，请读者参考原文献），更多可以参考附件

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MR3309956 Jin, Joung Hee; Mansour, Toufik; Moon, Eun-Jung; Park, Jin-Woo On the (r,q)-Bernoulli and (r,q)-Euler numbers andpolynomials. J. Comput. Anal. Appl. 19 (2015), no. 2, 250–259.

MR3309829 Boylan, Hatice Jacobi forms, finite quadratic modulesand Weil representations over number fields. With a foreword by Nils-Peter Skoruppa. Lecture Notes inMathematics, 2130. Springer, Cham, 2015. xx+130 pp. ISBN: 978-3-319-12915-0;978-3-319-12916-7

MR3324690 Pollack, Paul An easy generalization of Euler'stheorem on the series of prime reciprocals. Amer. Math. Monthly122 (2015), no. 2, 159–163.

MR3324688 Molinari, G. Elementary prime identities. Amer.Math. Monthly 122(2015), no. 2, 151–154.

MR3324684 Catalá de la Torre, Carlos A. A new proof fora sharp van der Corput's lemma. Amer. Math. Monthly 122 (2015), no. 2, 138–142.

MR3324682 O'Neill, Christopher; Pelayo, Roberto How do you measure primality? Amer.Math. Monthly 122(2015), no. 2, 121–137.

MR3320230 Quick, Gereon Existence of rational points as ahomotopy limit problem. J. Pure Appl. Algebra 219 (2015), no. 8, 3466–3481.

MR3331954 Balasubramanian, R.; Luca, Florian; Ralaivaosaona, Dimbinaina Arithmeticproperties of the sum of the first nvalues of the Eulerfunction. Bol. Soc. Mat. Mex. (3) 21 (2015), no. 1, 9–17.

MR3323347 Ullmo, Emmanuel; Yafaev, Andrei Nombre de classes des tores demultiplication complexe et bornes inférieures pour les orbites galoisiennes depoints spéciaux. (French)[Class number of CM-tori and lower bounds for the Galois orbits of specialpoints] Bull.Soc. Math. France 143 (2015), no. 1, 197–228.

MR3323346 Do, Viet Cuong Le lemme fondamental métaplectique deJacquet et Mao en égales caractéristiques. (French) [The metaplectic fundamental lemma of Jacquetand Mao in equal characteristic] Bull. Soc. Math. France 143 (2015), no. 1, 125–196.

MR3323345 Adam, David; Welter, Michael Fonctions entières totales encaractéristique finie. (French)[Totally entire functions in finite characteristic] Bull. Soc.Math. France 143 (2015), no. 1, 109–124.

MR3319561 Danisman, Yusuf Local factors of nongenericsupercuspidal representations of GSp4. Math. Ann. 361 (2015), no. 3-4, 1073–1121.

MR3319552 Arias-de-Reyna, Sara; Dieulefait, Luis V.; Shin, Sug Woo; Wiese, Gabor Compatible systems of symplectic Galoisrepresentations and the inverse Galois problem III. Automorphic construction ofcompatible systems with suitable local properties.Math. Ann. 361 (2015), no. 3-4, 909–925.

MR3319547 Breuil, Christophe Vers le socle localement analytiquepour GLn II. (French) [Onthe locally analytic socle for GLnII] Math. Ann. 361 (2015), no. 3-4, 741–785.

MR3308209 Kim, Dae San; Kim, Taekyun Identities of symmetry for higher-order q-Bernoullipolynomials. J. Comput. Anal. Appl. 18 (2015), no. 6, 1077–1088.

MR3318157 Huang, Jing-Jing Rational points near planar curves andDiophantine approximation. Adv. Math. 274 (2015), 490–515.

MR3317734 Maldonado-Ramírez, Myriam; Rzedowski-Calderón, Martha; Villa-Salvador, Gabriel Corrigendum to"Genus fields of abelian extensions of rational congruence functionfields'' [Finite Fields Appl. 20 (2013) 40–54] [MR3015350]. FiniteFields Appl.33 (2015),283–285.

MR3317733 Göloğlu, Faruk Almost perfect nonlinear trinomials andhexanomials. Finite Fields Appl. 33 (2015), 258–282.

MR3317731 Barman, Rupam; Saikia, Neelam Corrigendum to "p-adic gamma functionand the polynomials xd+ax+b and xd+axd−1+b over Fq'' [Finite FieldsAppl. 29 (2014) 89–105] [MR3225381]. FiniteFields Appl. 33(2015), 230–231.

MR3317729 Bassalygo, L. A.; Zinoviev, V. A. Permutation and complete permutationpolynomials. Finite Fields Appl. 33 (2015), 198–211.

MR3317727 Gyarmati, Katalin On the complexity of a family ofLegendre sequences with irreducible polynomials. Finite Fields Appl. 33 (2015), 175–186.

MR3317715 Vega, Gerardo A critical review and some remarksabout one- and two-weight irreducible cyclic codes. Finite Fields Appl. 33 (2015), 1–13.

MR3316821 Lee, Paul D.; Spearman, Blair K.; Yang, Qiduan A parametric family of intersectivepolynomials with Galois groupA4. Comm.Algebra 43 (2015),no. 5, 1784–1790.

MR3308512 Dolgy, Dmitry V.; Kim, Dae San; Kim, Taekyun; Komatsu, Takao; Lee, Sang-Hun Barnes' multiple Bernoulli andpoly-Bernoulli mixed-type polynomials. J. Comput. Anal. Appl. 18 (2015), no. 5, 933–951.

MR3308511 Kim, Dae San; Kim, Taekyun; Lee, Sang-Hun; Seo, Jong-Jin Symmetry p-adic invariantintegral on Zp for q-Euler polynomials. J.Comput. Anal. Appl. 18(2015), no. 5, 927–932.

MR3308503 Mahmudov, N. I.; Akkeleş, A.; Öneren, A. On two dimensional q-Bernoulli and q-Genocchipolynomials: properties and location of zeros. J. Comput. Anal. Appl. 18 (2015), no. 5, 834–843.

MR3308501 Erkuş-Duman, Esra; Tuglu, Naim Generating functions for thegeneralized bivariate Fibonacci and Lucas polynomials. J. Comput. Anal.Appl. 18 (2015), no. 5,815–821.

MR3327536 Thorne, Jack A. Automorphy lifting for residuallyreducible l-adic Galois representations. J. Amer. Math. Soc. 28 (2015), no. 3, 785–870.

MR3327466 Do, Younghae; Lim, Dongkyu On (h,q)-Daehee numbers andpolynomials. Adv. Difference Equ. 2015, 2015:107, 9 pp.

MR3327347 Bshouty, Nader H.; Mazzawi, Hanna On parity check (0,1)-matrix over Zp. SIAM J.Discrete Math. 29(2015), no. 1, 631–657.

MR3317804 Serre, Jean-Pierre Erratum to: "Bases normalesautoduales et groupes unitaires en caractéristique 2'', Transformation Groups19 (2014), 2, 643–698 [MR3200437]. Transform.Groups 20 (2015),no. 1, 305.

MR3308494 Peker, Bilge; Senay, Hasan Solutions of the Pell equation x2−(a2+2a)y2=N via generalizedFibonacci and Lucas numbers. J. Comput. Anal. Appl. 18 (2015), no. 4, 721–726.

MR3308492 Kim, Dae San; Kim, Taekyun; Lee, Sang-Hun Higher-order Daehee of the first kindand poly-Cauchy of the first kind mixed type polynomials. J. Comput.Anal. Appl. 18 (2015),no. 4, 699–714.

MR3326799 Bordellès, Olivier A multidimensional Cesáro type identityand applications. J. Integer Seq. 18 (2015), no. 3, Article 15.3.7,7 pp.

MR3326798 Bayarmagnai, Gombodorj A note on atheorem of Rotkiewicz. J. Integer Seq. 18 (2015), no. 3, Article 15.3.6,4 pp.

MR3326797 Ezerman, Martianus Frederic; Meyer, Bertrand; Solé, Patrick On polynomial pairs of integers. J.Integer Seq. 18(2015), no. 3, Article 15.3.5, 14 pp.

MR3326796 Turek, Ondřej Abelian complexity function of theTribonacci word. J. Integer Seq. 18 (2015), no. 3, Article 15.3.4,29 pp.

MR3326795 Richardson, Thomas M. The super Patalan numbers. J.Integer Seq. 18(2015), no. 3, Article 15.3.3, 8 pp.

MR3326794 Brent, Richard P. Generalizing Tuenter's binomial sums. J.Integer Seq. 18(2015), no. 3, Article 15.3.2, 9 pp.

MR3326793 Marques, Diego; Trojovsky, Pavel The p-adic order of somefibonomial coefficients. J. Integer Seq. 18 (2015), no. 3, Article 15.3.1,10 pp.

MR3326175 Leducq, Elodie Functions which are PN on infinitelymany extensions of Fp, p odd. Des.Codes Cryptogr. 75(2015), no. 2, 281–299.

MR3326130 Sargos, Patrick The multidimensional van der Corputtransformation. Funct. Approx. Comment. Math. 52 (2015), no. 1, 133–176.

MR3326129 Kühn, Ulf; Müller, Jan Steffen A height inequality for rational pointson elliptic curves implied by the abc-conjecture.Funct.Approx. Comment. Math. 52(2015), no. 1, 127–132.

MR3326128 Meher, Jaban; Pujahari, Sudhir; Shankhadhar, Karam Deo Sign changes ofcoefficients of certain Dirichlet series.Funct. Approx. Comment. Math. 52 (2015), no. 1, 117–126.

MR3326127 Konomi, Yutaka On the special values of Artin L-functions fordihedral extensions. Funct. Approx. Comment. Math.52 (2015), no. 1, 109–116.

MR3326126 Rzonsowski, Piotr Linear relations and arithmetic onabelian schemes. Funct. Approx. Comment. Math. 52 (2015), no. 1, 83–107.

MR3326125 Lee, Min Ho Differential operators on modular formsassociated to theta series. Funct. Approx. Comment. Math. 52 (2015), no. 1, 75–82.

MR3326124 Dartyge, Cécile; Mauduit, Christian; Sárközy, András Polynomial values and generators withmissing digits in finite fields. Funct. Approx. Comment. Math. 52 (2015), no. 1, 65–74.

MR3326123 Virdol, Cristian Tate conjecture for some abeliansurfaces over totally real or CM number fields. Funct. Approx. Comment.Math. 52 (2015), no. 1,57–63.

MR3326122 Lopez, Adele Imaginary quadratic fields with 2-classgroup of type (2,2ℓ). Funct.Approx. Comment. Math. 52(2015), no. 1, 37–55.

MR3326121 Hamahata, Yoshinori Values of Dedekind sums for functionfields. Funct. Approx. Comment. Math. 52 (2015), no. 1, 29–35.

MR3326120 Elsner, Carsten Algebraic independence results forvalues of theta-constants. Funct. Approx. Comment. Math. 52 (2015), no. 1, 7–27.

MR3326083 Hirabayashi, Mikihito A generalization of Jakubec's formula. Math.Slovaca 65 (2015),no. 1, 215–227.

MR3326070 Kostra, Juraj; Bárta, Čestmir Note on G-module structure oforders. Math. Slovaca 65 (2015), no. 1, 45–52.

MR3326069 Jahoda, Pavel; Jahodová, Monika On systems of independent sets. Math.Slovaca 65 (2015),no. 1, 33–44.

MR3326020 Mortenson, Eric T. Eulerian series as modular formsrevisited. Proc. Amer. Math. Soc. 143 (2015), no. 6, 2379–2385.

MR3326018 Lai, King Fai; Longhi, Ignazio; Tan, Ki-Seng; Trihan, Fabien An example of non-cotorsion Selmergroup. Proc. Amer. Math. Soc. 143 (2015), no. 6, 2355–2364.

MR3326017 Bennett, Michael A.; Pintér, ákos Intersections of recurrence sequences. Proc.Amer. Math. Soc. 143(2015), no. 6, 2347–2353.

MR3326016 Xue, Jiangwei; Yu, Chia-Fu Abelian varieties without a prescribed Newton polygon reduction. Proc.Amer. Math. Soc. 143(2015), no. 6, 2339–2345.

MR3325719 Luca, Florian; Menares, Ricardo; Pizarro-Madariaga, Amalia On shiftedprimes with large prime factors and their products. Bull. Belg. Math.Soc. Simon Stevin 22(2015), no. 1, 39–47.

MR3317062 Nelsen, Roger B. Proof without words: summing squares bycounting triangles. College Math. J. 45 (2014), no. 5, 349.

MR3309624 Guan, Wen Ji; Che, Shun The Diophantine equation 2yny−x=(b+2)x−bx. (Chinese) J. NorthwestUniv. Nat. Sci.44 (2014),no. 4, 534–536.

MR3289639 Girondo, Ernesto; Torres-Teigell, David; Wolfart, Jürgen Fields of definition of uniform dessinson quasiplatonic surfaces. Riemann and Klein surfaces, automorphisms,symmetries and moduli spaces, 155–170, Contemp. Math., 629, Amer. Math.Soc., Providence, RI, 2014.

MR3289629 Beshaj, L.; Shaska, T.; Shor, C. On Jacobians of curves withsuperelliptic components. Riemann and Klein surfaces, automorphisms,symmetries and moduli spaces, 1–14, Contemp. Math., 629, Amer. Math.Soc., Providence, RI, 2014.

MR3309611 Gröger, Detlef A variation on Gauss's third proof ofthe quadratic reciprocity law. Mitt. Math. Ges. Hamburg 34 (2014), 33–37.

MR3322256 Kouba, Omran Exact evaluation of some highlyoscillatory integrals. J. Class. Anal. 3 (2013), no. 1, 45–57.

MR3322241 Araci, Serkan; Acikgoz, Mehmet; Jolany, Hassan On p-adic interpolatingfunction associated with modified Dirichlet's type of twisted q-Euler numbers andpolynomials with weight α. J. Class.Anal. 2 (2013), no. 1,35–48.

MR3322238 Batir, Necdet On certain series involving reciprocalsof binomial coefficients. J. Class. Anal. 2 (2013), no. 1, 1–8.

MR3309634 López Pellicer, Manuel On the Riemannhypothesis. (Spanish) Rev. R.Acad. Cienc. Exactas Fís. Nat. (Esp.) 106 (2013), no. 1-2, 167–199.

MR3294573 Srivastava, H. M.; Choi, Junesang Zeta and q-Zeta functions andassociated series and integrals. Elsevier, Inc., Amsterdam, 2012. xvi+657 pp. ISBN: 978-0-12-385218-2

MR3307290 Schmidt, Alexander Einführung in die algebraischeZahlentheorie. (German)[Introduction to algebraic number theory] Springer, Berlin, 2007. xii+215 pp. ISBN: 978-3-540-45973-6

MR3287869 Davis, Chandler; Knuth, Donald E. Number representations and dragoncurves-II. J. Recreational Math. 3 (1970), no. 3, 133–149.

MR3287868 Davis, Chandler; Knuth, Donald E. Number representations and dragoncurves-I. J. Recreational Math. 3 (1970), no. 2, 66–81.