MR2016年6月份数论最新文献题录357条（见附件）

诸平 辑

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，

MR2015年1～12月份数论题录文献检索结果,详见：

MR2015年1~12月份数论最新文献题录

MR2016年1月份数论最新文献题录186条

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MR2016年3月份数论最新文献题录230条

MR2016年4月份数论最新文献题录265条

MR2016年5月份数论最新文献题录275条

MR2016年6月份收录文献总量为10642条，其中数论研究最新文献题录357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

MR2016-06-357 for Number Theory.pdf。

MR3484301 Hsu, Catherine Two classes of number fields with anon-principal Euclidean ideal. Int. J. Number Theory 12 (2016), no. 4, 1123–1136.

MR3484300 Abe, Ryuji; Aitchison, Iain R.; Rittaud, Benoît Two-color Markoff graph and minimalforms. Int. J. Number Theory 12 (2016), no. 4, 1093–1122.

MR3484299 Bhargava, Manjul; Cremona, John; Fisher, Tom The proportion of plane cubic curvesover Q thateverywhere locally have a point. Int. J. Number Theory 12 (2016), no. 4, 1077–1092.

MR3484298 Kiss, Sándor Z.; Sándor, Csaba On the maximum values of the additiverepresentation functions. Int. J. Number Theory 12 (2016), no. 4, 1055–1075.

MR3484296 Bayless, Jonathan; Kinlaw, Paul Consecutive coincidences of Euler'sfunction. Int. J. Number Theory 12 (2016), no. 4, 1011–1026.

MR3484295 Wang, Liuquan Arithmetic identities and congruencesfor partition triples with 3-cores. Int. J. Number Theory12 (2016), no. 4, 995–1010.

MR3484294 Yuan, Pingzhi; Li, Yuanlin Long unsplittable zero-sum sequencesover a finite cyclic group. Int. J. Number Theory 12 (2016), no. 4, 979–993.

MR3484293 Rouse, Jeremy; Yang, Yilin Three consecutive almost squares. Int.J. Number Theory 12(2016), no. 4, 969–978.

MR3484292 Ishitsuka, Yasuhiro; Ito, Tetsushi On the symmetric determinantalrepresentations of the Fermat curves of prime degree. Int. J. NumberTheory 12 (2016),no. 4, 955–967.

MR3484291 Xia, Ernest X. W.; Ma, Y. H.; Tian, L. X. On the number of representations ofintegers by sums of mixed numbers. Int. J. Number Theory 12 (2016), no. 4, 945–954.

MR3484290 Fan, Yushuang; Zhong, Qinghai On the Erdős-Ginzburg-Ziv constant ofgroups of the form Cr2?Cn. Int. J. Number Theory 12 (2016), no. 4, 913–943.

MR3484289 Reynya, M. A. Representations of a rational number asa sum of odd powers. Int. J. Number Theory 12 (2016), no. 4, 903–911.

MR3484288 Morton, Patrick Solutions of the cubic Fermat equationin ring class fields of imaginary quadratic fields (as periodic points of a3-adic algebraic function). Int. J. Number Theory 12 (2016), no. 4, 853–902.

MR3484115 Milićević, Djordje Sub-Weyl subconvexity for Dirichlet L-functions to primepower moduli. Compos. Math.152 (2016), no. 4, 825–875.

MR3484114 Madapusi Pera, Keerthi Integralcanonical models for spin Shimura varieties. Compos. Math. 152 (2016), no. 4, 769–824.

MR3484113 Levin, Aaron Integral points of bounded degree onaffine curves. Compos. Math. 152 (2016), no. 4, 754–768.

MR3484112 Vigneras, Marie-France The pro-p-Iwahori Heckealgebra of a reductive p-adic group I. Compos. Math. 152 (2016), no. 4, 693–753.

MR3484077 Komatsu, Takao; De J. Pita Ruiz V., Claudio Severalexplicit formulae for Bernoulli polynomials. Math. Commun. 21 (2016), no. 1, 127–140.

MR3484075 Gürel, Erhan A note on the products ((m+1)2+1)((m+2)2+1)…(n2+1) and ((m+1)3+1)((m+2)3+1)…(n3+1). Math.Commun. 21 (2016),no. 1, 109–114.

MR3484063 Akkus, Ilker; Irmak, Nurettin; Kizilaslan, Gonca Farey-Pell sequence, approximation toirrationals and Hurwitz's inequality. Bull. Math. Anal. Appl. 8 (2016), no. 1, 11–21.

MR3484017 Tao, Terence Cancellation for the multilinearHilbert transform. Collect. Math. 67 (2016), no. 2, 191–206.

MR3483846 Ammous, B.; Driss, S.; Hbaib, M. Continued fractions and transcendenceof formal power series over a finite field. Mediterr. J. Math. 13 (2016), no. 2, 527–536.

MR3483845 Furdui, Ovidiu; Vălean, Cornel Evaluation of series involving theproduct of the tail of ζ(k) and ζ(k+1).Mediterr. J.Math. 13 (2016), no. 2,517–526.

MR3483825 Kharchev, S.; Zabrodin, A. Theta vocabulary II. Multidimensionalcase. J. Geom. Phys. 104 (2016), 112–120.

MR3483625 Scully, Stephen On the splitting of quasilinear p-forms. J.Reine Angew. Math. 713(2016), 49–83.

MR3483589 Delbourgo, Daniel Exceptional zeroes of P-adic L-functions overnon-abelian field extensions. Glasg. Math. J.58 (2016), no. 2, 385–432.

MR3480932 Ferraguti, Andrea; Micheli, Giacomo On the Mertens-Cesàro theorem fornumber fields. Bull. Aust. Math. Soc.93 (2016), no. 2, 199–210.

MR3480931 Dudek, Adrian W. On the number of divisors of n2−1. Bull. Aust.Math. Soc. 93 (2016),no. 2, 194–198.

MR3480706 de Vera-Piquero, Carlos Local points onShimura coverings of Shimura curves at bad reduction primes. Mosc.Math. J. 16 (2016),no. 2, 323–370.

MR3469293 Ryoo, C. S.; Kang, J. Y. Some implicit properties of the secondkind Bernoulli polynomials of order α. J. Comput.Anal. Appl. 20 (2016),no. 5, 843–859.

MR3462710 Sevastʹyanov, E. A.; Yakupov, I. Yu. On estimates of the averaged sums offractional parts. (Russian) Mat. Zametki 99 (2016), no. 2, 298–308.

MR3483471 Lundell, Benjamin Quantitative level lowering. Amer.J. Math. 138 (2016),no. 2, 419–448.

MR3483460 Lim, Dongkyu Some identities of degenerate Genocchipolynomials. Bull. Korean Math. Soc. 53 (2016), no. 2, 569–579.

MR3483452 Wang, Tingting A mean value function and itscomputational formula related to D. H. Lehmer's problem. Bull. KoreanMath. Soc. 53 (2016),no. 2, 487–494.

MR3483324 Ma, Hainan; He, Bing On a theta function identity. IntegralTransforms Spec. Funct. 27(2016), no. 5, 365–370.

MR3483236 Ugolini, Simone On an iterated construction ofirreducible polynomials over finite fields of even characteristic by Kyuregyan. CzechoslovakMath. J. 66(141)(2016), no. 1, 243–250.

MR3483219 Aktaş, Kevser; Şenay, Hasan On the arithmetic of the hyperellipticcurve y2=xn+a. Czechoslovak Math. J.66(141) (2016), no. 1, 35–40.

MR3482865 Tangsupphathawat, Pinthira; Laohakosol, Vichian Minimal polynomials of algebraic cosinevalues at rational multiples of π. J. Integer Seq. 19 (2016), no. 2, Article 16.2.8, 8 pp.

MR3482864 Ikeda, Soichi; Kiuchi, Isao; Matsuoka, Kaneaki Sums of products of generalizedRamanujan sums. J. Integer Seq. 19 (2016), no. 2, Article 16.2.7, 22 pp.

MR3482863 Aoki, Miho; Sakai, Yuho On equivalence classes of generalizedFibonacci sequences. J. Integer Seq. 19 (2016), no. 2, Article 16.2.6, 11 pp.

MR3482860 Hüsrev Cılasun, M. Generalized multiple countingJacobsthal sequences in Fermat pseudoprimes. J. Integer Seq. 19 (2016), no. 2, Article 16.2.3, 8 pp.

MR3482858 Anantakitpaisal, Pornpawee; Kuhapatanakul, Kantaphon Reciprocal sumsof the Tribonacci numbers. J. Integer Seq. 19 (2016), no. 2, Article 16.2.1, 9 pp.

MR3478040 Bagdasaryan, Armen; Araci, Serkan; Acikgoz, Mehmet; He, Yuan Some new identities on theApostol-Bernoulli polynomials of higher order derived from Bernoulli basis. J.Nonlinear Sci. Appl. 9(2016), no. 5, 2697–2704.

MR3477883 Bannai, Kenichi; Kobayashi, Shinichi Integral structures on p-adic Fourier theory. Ann.Inst. Fourier (Grenoble) 66 (2016), no. 2, 521–550.

MR3469660 Kim, Taekyun; Kwon, Hyuck-In; Seo, Jong Jin Some identities of degenerateFrobenius-Euler polynomials and numbers. Proc. Jangjeon Math. Soc. 19 (2016), no. 1, 157–163.

MR3469650 Kim, Taekyun; Seo, Jong Jin Some identities involvingFrobenius-Euler polynomials and numbers. Proc. Jangjeon Math. Soc. 19 (2016), no. 1, 39–46.

MR3469646 Dolgy, Dmitry V.; Kim, Taekyun; Kwon, Hyuck-In; Seo, Jong Jin Symmetric identities of degenerate q-Bernoullipolynomials under symmetry group S3. Proc. Jangjeon Math. Soc. 19 (2016), no. 1, 1–9.

MR3483354 Bamunoba, Alex Samuel A note on order one cyclotomicpolynomials. Quaest. Math. 39 (2016), no. 1, 29–43.

MR3483352 Ballico, Edoardo; Elia, Michele On evaluating multivariate polynomialsover finite fields. Quaest. Math. 39 (2016), no. 1, 1–8.

MR3483176 Yuan, Haiping; Zhao, Jianqiang Bachmann-Kühn's brackets and multiplezeta values at level N. Manuscripta Math. 150 (2016), no. 1-2, 177–210.

MR3483166 Mihatsch, Andreas An arithmetic transfer identity. ManuscriptaMath. 150 (2016), no. 1-2,1–19.

MR3483062 Riveros Pacheco, D. R.; Weiss, A. Galois structure of S-units. Bull.Lond. Math. Soc. 48(2016), no. 2, 251–259.

MR3482338 Park, Jeongho Almost universality of a sum of norms. HiroshimaMath. J. 46 (2016),no. 1, 55–77.

MR3482337 Aloui, Karam On the average of some arithmeticalfunctions under a constraint on the sum of digits of squares. HiroshimaMath. J. 46 (2016),no. 1, 37–54.

MR3482283 Jones, Andrew Modular elliptic curves over the fieldof twelfth roots of unity. LMS J. Comput. Math. 19 (2016), no. 1, 155–174.

MR3482282 Schoen, Tomasz; Sisask, Olof Roth's theorem for four variables andadditive structures in sums of sparse sets. Forum Math. Sigma 4 (2016), e5, 28 pp.

MR3482281 Bruin, Nils; Poonen, Bjorn; Stoll, Michael Generalized explicit descent and itsapplication to curves of genus 3. Forum Math. Sigma 4 (2016), e6, 80 pp.

MR3482279 Sutherland, Andrew V. Computing images of Galoisrepresentations attached to elliptic curves. Forum Math. Sigma 4 (2016), e4, 79 pp.

MR3482277 Lan, Kai-Wen Compactifications of PEL-type Shimuravarieties in ramified characteristics. Forum Math. Sigma4 (2016), e1, 98 pp.

MR3481968 Pollack, Paul; Pomerance, Carl Some problems of Erdős on thesum-of-divisors function. Trans. Amer. Math. Soc. Ser. B 3 (2016), 1–26.

MR3479572 Wooley, Trevor D. The cubic case of the main conjecturein Vinogradov's mean value theorem. Adv. Math. 294 (2016), 532–561.

MR3479570 Choi, Dohoon Congruences involving arithmeticprogressions for weakly holomorphic modular forms. Adv. Math. 294 (2016), 489–516.

MR3479566 Chan, Charlotte Deligne-Lusztig constructions fordivision algebras and the local Langlands correspondence.Adv. Math. 294 (2016), 332–383.

MR3477626 Witno, Amin A criterion on multiples of generalizedrepunits. Palest. J. Math. 5 (2016), Special Issue, 159–161.

MR3477625 Karama, Muneer Jebreel Using summationnotation to solve some Diophantine equations. Palest. J. Math. 5 (2016), Special Issue, 155–158.

MR3477624 Karama, Muneer Jebreel Arithmeticprogression of more squares. Palest. J. Math. 5 (2016), Special Issue, 151–154.

MR3477623 Yaşar, Meral; Bozkurt, Durmuş Negatively indexed Pell numbers as thepermanent of tridiagonal matrix.Palest. J. Math. 5 (2016), Special Issue, 147–150.

MR3475554 Valentini, Robert C. A note on value sets of quarticpolynomials. Finite Fields Appl. 39 (2016), 272–276.

MR3475553 Ateş, Leyla; Stichtenoth, Henning A note on short vectors in latticesfrom function fields. Finite Fields Appl. 39 (2016), 264–271.

MR3475549 Bary-Soroker, Lior; Smilansky, Yotam; Wolf, Adva On the function field analogue ofLandau's theorem on sums of squares. Finite Fields Appl. 39 (2016), 195–215.

MR3475545 Rezaeian Farashahi, Reza; Hosseini, Mehran Isomorphism classes ofDoche-Icart-Kohel curves over finite fields. Finite Fields Appl. 39 (2016), 111–129.

MR3469288 Jang, Lee-Chae; Kim, Taekyun Some identities of Bell polynomials. J.Comput. Anal. Appl. 20(2016), no. 3, 584–589.

MR3469280 Moon, Eun-Jung; Park, Jin-Woo A note on the generalized q-Changhee numbers ofhigher order. J. Comput. Anal. Appl. 20 (2016), no. 3, 470–479.

MR3469277 Rim, Seog-Hoon; Pak, Hong Kyung; Kwon, J. K.; Kim, Tae Gyun Some identities of Bell polynomialsassociated with p-adic integral on Zp. J. Comput.Anal. Appl. 20 (2016),no. 3, 437–446.

MR3469276 Rim, S.-H.; Kim, T. G.; Lee, S. H. Some symmetry identities for the (h,q)-Bernoullipolynomials under the third dihedral group D3 arising from q-Volkenborn integralon Zp. J.Comput. Anal. Appl. 20(2016), no. 3, 432–436.

MR3469275 Park, Jin-Woo On the twisted q-Changhee polynomialsof higher order. J. Comput. Anal. Appl. 20 (2016), no. 3, 424–431.

MR3482666 Shakan, George Sum of many dilates. Combin.Probab. Comput. 25(2016), no. 3, 460–469.

MR3482663 Gao, Weidong; Grynkiewicz, David J.; Xia, Xingwu On n-sums in an abeliangroup. Combin. Probab. Comput.25 (2016), no. 3, 419–435.

MR3481195 Iliman, Sadik; de Wolff, Timo Amoebas, nonnegative polynomials andsums of squares supported on circuits.Res. Math. Sci. 3 (2016), Art. 9, 35 pp.

MR3481123 Jitman, Somphong; Bunyawat, Aunyarut; Meesawat, Supanut; Thanakulitthirat, Arithat; Thumwanit, Napat Characterization and enumeration of goodpunctured polynomials over finite fields. Int. J. Math. Math. Sci. 2016, Art. ID 6093219, 7 pp.