MR2015年11月份数论最新文献题录182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，

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MR3393559 Bilu, Yuri; Luca, Florian; Pizarro-Madariaga, Amalia Rationalproducts of singular moduli. J. Number Theory 158 (2016), 397–410.

MR3393558 Blagouchine, Iaroslav V. Expansions ofgeneralized Euler's constants into the series of polynomials in π−2 and into theformal enveloping series with rational coefficients only. J. NumberTheory 158 (2016),365–396.

MR3393556 Khan, Nadia; Katayama, Shin-ichi; Nakahara, Toru; Uehara, Tsuyoshi Monogenity of totally real algebraicextension fields over a cyclotomic field. J. Number Theory 158 (2016), 348–355.

MR3393555 Richey, Joseph; Shutty, Noah Polynomial identities on eigenforms. J.Number Theory 158(2016), 333–347.

MR3393554 Nakata, Mitsusada Number of class polynomials of multipleeta-quotients with odd level. J. Number Theory158 (2016), 316–332.

MR3393553 Loper, K. Alan; Werner, Nicholas J. Resultants of minimal polynomials ofmaximal real cyclotomic extensions.J. Number Theory 158 (2016), 298–315.

MR3393552 Adiga, Chandrashekar; Bulkhali, N. A. S.; Ranganatha, D.; Srivastava, H. M. Some new modular relations for theRogers-Ramanujan type functions of order eleven with applications topartitions. J. Number Theory 158 (2016), 281–297.

MR3393551 Dupuy, Taylor; Weirich, David E. Bits of 3n in binary,Wieferich primes and a conjecture of Erdős. J. Number Theory 158 (2016), 268–280.

MR3393550 Sun, Chaochao; Xu, Kejian On the p-rank of tame kernelof number fields. J. Number Theory 158 (2016), 244–267.

MR3393549 Jang, Se Wook; Kim, Byeong Moon A refinement of the Dress-Scharlautheorem. J. Number Theory 158 (2016), 234–243.

MR3393547 Akbary, Amir; Bleaney, Jeff; Yazdani, Soroosh On symmetries of elliptic nets andvaluations of net polynomials. J. Number Theory 158 (2016), 185–216.

MR3393545 Chaubey, Sneha; Lanius, Melinda; Zaharescu, Alexandru Pair correlation of fractional partsderived from rational valued sequences, II. J. Number Theory 158 (2016), 151–164.

MR3393544 Zou, Yuru; Kong, Derong On a problem of countable expansions. J.Number Theory 158(2016), 134–150.

MR3393543 Bremner, Andrew; Ulas, Maciej Points at rational distances from thevertices of certain geometric objects. J. Number Theory 158 (2016), 104–133.

MR3393542 Brown, Francis; Omar, Sami Li's criterion for Epstein zetafunctions, generalization of Kronecker's limit formula and the Gauss problem. J.Number Theory 158(2016), 90–103.

MR3393541 Hu, Su; Kim, Min-Soo The (S,{2})-Iwasawa theory. J.Number Theory 158(2016), 73–89.

MR3393540 Matera, Guillermo; Pérez, Mariana; Privitelli, Melina Explicit estimates for the number ofrational points of singular complete intersections over a finite field. J.Number Theory 158(2016), 54–72.

MR3393538 Hürlimann, Werner Cooper and Lam's conjecture forgeneralized Bell ternary quadratic forms. J. Number Theory158 (2016), 23–32.

MR3393537 Blackman, Terrence Richard; Lemurell, Stefan Spectral correspondences for Maasswaveforms on quaternion groups. J. Number Theory 158 (2016), 1–22.

MR3393934 Ballet, Stéphane; Bonnecaze, Alexis; Tukumuli, Mila On the construction of ellipticChudnovsky-type algorithms for multiplication in large extensions of finitefields. J. Algebra Appl. 15 (2016), no. 1, 1650005, 26 pp.

MR3388817 Osburn, Robert; Zudilin, Wadim On the (K.2) supercongruence of VanHamme. J. Math. Anal. Appl. 433 (2016), no. 1, 706–711.

MR3388809 Nakamura, Takashi; Pańkowski, Łukasz Value distribution for the derivativesof the logarithm of L-functions from theSelberg class in the half-plane of absolute convergence. J. Math. Anal.Appl. 433 (2016), no. 1,566–577.

MR3397511 Lim, Dongkyu Degenerate, partially degenerate andtotally degenerate Daehee numbers and polynomials. Adv. Difference Equ. 2015, 2015:287, 14 pp.

MR3397295 Abrate, Marco; Barbero, Stefano; Cerruti, Umberto; Murru, Nadir Polynomial sequences on quadraticcurves.Integers 15(2015), Paper No. A38, 14 pp.

MR3397294 Hegyvári, Norbert; Hennecart, François Note on a result of Chung on Weil typesums. Integers 15(2015), Paper No. A37, 9 pp.

MR3397268 Zaïmi, Toufik; Selatnia, Mounia; Zekraoui, Hanifa Comments on the fractional parts ofPisot numbers. Arch. Math. (Brno) 51 (2015), no. 3, 153–161.

MR3397257 Elia, Michele; Schipani, Davide Improvements on the Cantor-Zassenhausfactorization algorithm. Math. Bohem. 140 (2015), no. 3, 271–290.

MR3396998 Ayadi, Khalil On the approximation exponent of somehyperquadratic power series. Bull. Belg. Math. Soc. Simon Stevin 22 (2015), no. 3, 511–520.

MR3396988 Zhang, Hua; Liu, Huaning Pseudorandom subsets with compositemoduli. Bull. Belg. Math. Soc. Simon Stevin22 (2015), no. 3, 353–375.

MR3396578 Fukshansky, Lenny Height bounds on zeros of quadraticforms over Qˉˉˉˉ. Res. Math. Sci. 2 (2015), Art. 19, 26 pp.

MR3396607 Mezroui, Soufiane; Azizi, Abdelmalek; Ziane, M'hammed Quaternary quartic forms representinginfinitely many prime squares. Asian-Eur. J. Math. 8 (2015), no. 3, 1550062, 13 pp.

MR3396593 Kiliç, Emrah; Akkus, Ilker; Ömür, Neşe; Ulutaş, Yücel T. A curious matrix-sum identity andcertain finite sums identities. Asian-Eur. J. Math. 8 (2015), no. 3, 1550047, 10 pp.

MR3396496 Huber, Tim; Lara, Danny Differential equations for septic thetafunctions. Ramanujan J. 38 (2015), no. 1, 211–226.

MR3396495 Lin, Bernard L. S. A new proof of a conjecture ofHirschhorn and Sellers on overpartitions. Ramanujan J. 38 (2015), no. 1, 199–209.

MR3396494 Hakami, A. H. Small primitive zeros of quadraticforms mod pm. Ramanujan J. 38 (2015), no. 1, 189–198.

MR3396493 Alboiu, Mihai On the parity of the prime-countingfunction and related problems. Ramanujan J. 38 (2015), no. 1, 179–187.

MR3396492 Zapata Rolon, Jose Miguel Asymptotics ofcrank generating functions and Ramanujan congruences. Ramanujan J. 38 (2015), no. 1, 147–178.

MR3396491 Lam, Jonathan Wing Chung The secondmoment of the central values of the symmetric square L-functions.RamanujanJ. 38 (2015), no. 1,129–145.

MR3396490 Chen, Chao-Ping; Cheng, Jun-Xiang Ramanujan's asymptotic expansion forthe harmonic numbers. Ramanujan J. 38 (2015), no. 1, 123–128.

MR3396489 Dai, Haobo; Niu, Chuanze On the distribution of 2t-core partitionsmodulo 2j. Ramanujan J. 38 (2015), no. 1, 115–122.

MR3396488 Lü, Guangshi; Ma, Wenjun On mean values of some arithmeticfunctions involving different number fields.Ramanujan J. 38 (2015), no. 1, 101–113.

MR3396487 Chan, Heng Huat Analogues of the Brent-Salaminalgorithm for evaluating π. RamanujanJ. 38 (2015), no. 1,75–100.

MR3396485 Aivazidis, S.; Sofos, E. On the distribution of the density ofmaximal order elements in general linear groups.Ramanujan J. 38 (2015), no. 1, 35–59.

MR3396484 Eichhorn, Dennis A.; Hirschhorn, Michael D. Notes on the spt function ofGeorge E. Andrews. Ramanujan J. 38 (2015), no. 1, 17–34.

MR3396383 Küçüksakallı, Ömer Value sets of bivariate Chebyshev mapsover finite fields. Finite Fields Appl. 36 (2015), 189–202.

MR3396381 Zheng, Yanbin; Yuan, Pingzhi; Pei, Dingyi Piecewise constructions of inverses ofsome permutation polynomials. Finite Fields Appl. 36 (2015), 151–169.

MR3396085 Lê, Thái Hoàng; Vaaler, Jeffrey D. Sums of products of fractional parts. Proc.Lond. Math. Soc. (3) 111(2015), no. 3, 561–590.

MR3396084 Wooley, Trevor D. Multigrade efficient congruencing andVinogradov's mean value theorem. Proc. Lond. Math. Soc. (3) 111 (2015), no. 3, 519–560.

MR3395695 Dolphin, Andrew Singular and totally singular unitaryspaces. Comm. Algebra 43 (2015), no. 12, 5141–5158.

MR3396097 Lando, Guy Square-free values of polynomialsevaluated at primes over a function field. Q. J. Math. 66 (2015), no. 3, 905–924.

MR3396093 Hasegawa, Takehiro; Saito, Seiken; Sato, Iwao A generalization of a graph theoryMertens' theorem: abelian covering case. Q. J. Math. 66 (2015), no. 3, 809–836.

MR3395986 Fujita, Takahiko Special values of the Riemann zetafunction via arcsine random variables. Kyoto J. Math. 55 (2015), no. 3, 673–686.

MR3395984 Agarwal, Mahesh; Brown, Jim Saito-Kurokawa lifts of square-freelevel. Kyoto J. Math. 55 (2015), no. 3, 641–662.

MR3395797 Stichtenoth, Henning; Tutdere, Seher Quadratic recursive towers of functionfields over F2. TurkishJ. Math. 39 (2015),no. 5, 665–682.

MR3395618 Kim, Dae San; Kim, Taekyun Some identities of Korobov-typepolynomials associated with p-adic integrals on Zp. Adv.Difference Equ. 2015, 2015:282, 13 pp.

MR3393168 Roy, Damien Construction of points realizing theregular systems of Wolfgang Schmidt and Leonard Summerer.J. Théor. NombresBordeaux 27 (2015),no. 2, 591–603.

MR3393166 Levesque, Claude; Waldschmidt, Michel A family of Thue equations involvingpowers of units of the simplest cubic fields. J. Théor. NombresBordeaux 27 (2015),no. 2, 537–563.

MR3393165 Kühne, Lars Logarithms of algebraic numbers. J.Théor. Nombres Bordeaux 27(2015), no. 2, 499–535.

MR3393164 Dauguet, Simon Généralisations quantitatives ducritère d'indépendance linéaire de Nesterenko. (French) [Quantitative generalizations of Nesterenko'slinear independence criterion] J. Théor. Nombres Bordeaux 27 (2015), no. 2, 483–498.

MR3393163 Bugeaud, Yann Quadratic approximation to automaticcontinued fractions. J. Théor. Nombres Bordeaux 27 (2015), no. 2, 463–482.

MR3393161 Bérczes, Attila Effective results for division pointson curves in G2m. J. Théor. Nombres Bordeaux 27 (2015), no. 2, 405–437.

MR3393160 Bennett, Michael A.; Ghadermarzi, Amir Extremal families of cubic Thueequations. J. Théor. Nombres Bordeaux 27 (2015), no. 2, 389–403.

MR3393158 Akhtari, Shabnam Integral points on a certain family ofelliptic curves. J. Théor. Nombres Bordeaux 27 (2015), no. 2, 353–373.

MR3393156 Goldstein, Catherine Axel Thue in context. J. Théor.Nombres Bordeaux 27(2015), no. 2, 309–337.

MR3395494 Munagi, Augustine O. Zig-zag graphs and partition identitiesof A. K. Agarwal. Ann. Comb. 19 (2015), no. 3, 557–566.

MR3395487 Berndt, Bruce C.; Zhou, Roberta R. Identities for partitions with distinctcolors. Ann. Comb. 19 (2015), no. 3, 397–420.

MR3395483 Gao, Weidong; Li, Yuanlin; Yuan, Pingzhi; Zhuang, Jujuan On the structure of long zero-sum freesequences and n-zero-sum freesequences over finite cyclic groups. Arch. Math. (Basel) 105 (2015), no. 4, 361–370.

MR3395482 Wong, Siman A field theoretic proof of Hermite'stheorem for function fields. Arch. Math. (Basel) 105 (2015), no. 4, 351–360.

MR3395457 Ibukiyama, Tomoyoshi Structures and dimensions of vectorvalued Jacobi forms of degree two. Publ. Res. Inst. Math. Sci. 51 (2015), no. 3, 513–547.

MR3395372 Kuo, Wentang; Tweedle, David Primitive submodules for Drinfeldmodules. Math. Proc. Cambridge Philos. Soc.159 (2015), no. 2, 275–302.

MR3395370 Blomer, Valentin; Kala, Vítězslav Number fields without n-ary universalquadratic forms. Math. Proc. Cambridge Philos. Soc. 159 (2015), no. 2, 239–252.

MR3395341 Brüdern, Jörg On the asymptotic formula in Waring'sproblem: one square and three fifth powers. Glasg. Math. J. 57 (2015), no. 3, 681–692.

MR3395655 Polák, Jason K. C. Exposing relative endoscopy in unitarysymmetric spaces. Res. Math. Sci. 2 (2015), Art. 9, 22 pp.

MR3394986 Akyigit, Mahmut; Erisir, Tulay; Tosun, Murat On the Fibonacci and Lucas curves. NewTrends Math. Sci. 3(2015), no. 3, 1–10.

MR3394973 Cléry, Fabien; van der Geer, Gerard Constructing vector-valued Siegelmodular forms form scalar-valued Siegel modular forms. Pure Appl. Math.Q. 11 (2015), no. 1,21–47.

MR3394139 Coxon, Nicholas Montgomery's method of polynomialselection for the number field sieve. Linear Algebra Appl.485 (2015), 72–102.

MR3381133 Saito, Shuji The status quo of higher-dimensionalclass field theory—the higher-dimensional Hasse principle and a view towardsnonabelianization. (Japanese) Sūgaku 67 (2015), no. 3, 246–270.

MR3404215 Bhattacharya, Shalini; Ghate, Eknath Reductions of Galois representationsfor slopes in (1,2). Doc. Math. 20 (2015), 943–987.

MR3394385 Booker, Andrew R. L-functions asdistributions. Math. Ann. 363 (2015), no. 1-2, 423–454.

MR3394377 Petrow, Ian N. A twisted Motohashi formula andWeyl-subconvexity for L-functions of weighttwo cusp forms.Math. Ann. 363 (2015), no. 1-2, 175–216.