MR2017年1月份数论最新文献题录209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，2013~2016年1-12月的逐月统计结果已有报道，详见

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MR2017年1月份收录文献总量为10688条，其中数论研究最新文献题录209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.

MR2017-1-209 for Number Theory.pdf

MR3573422 Aktaş, Kevser; Ram Murty, M. Fundamentalunits and consecutive squarefull numbers. Int. J. Number Theory 13 (2017), no. 1, 243–252.

MR3573420 Badziahin,Dmitry Finding special factors of values of polynomials at integerpoints. Int. J. Number Theory 13 (2017), no. 1, 209–228.

MR3573419 Hanamoto,Seiichi Zeros of weakly holomorphic modular forms of level 5. Int.J. Number Theory 13(2017), no. 1, 195–207.

MR3573418 Drappeau, Sary On the averagedistribution of divisors of friable numbers. Int. J. Number Theory13 (2017), no. 1, 153–193.

MR3573417 Shparlinski,Igor E.; Sutherland,Andrew V. Finding elliptic curves with a subgroup of prescribed size. Int.J. Number Theory 13(2017), no. 1, 133–152.

MR3573416 Skałba, M. Note on ananalogue of Fermat's two squares theorem for primes p≡3(mod8). Int. J.Number Theory 13(2017), no. 1, 129–132.

MR3573415 McCoy, Megan; Thielen, Kevin; Wang, Liuquan; Zhao, Jianqiang A family ofsuper congruences involving multiple harmonic sums. Int. J. NumberTheory 13 (2017),no. 1, 109–128.

MR3573414 Rosenberg, Shai Square-freevalues of multivariate polynomials over function fields in linear sparsesets. Int. J. Number Theory 13 (2017), no. 1, 77–108.

MR3573413 Dai, Yuxia; Wei, Chun; Wen, Shengyou Some geometricproperties of sets defined by digit restrictions. Int. J. Number Theory 13 (2017), no. 1, 65–75.

MR3573412 Candelori, Luca; Franc, Cameron Vector-valuedmodular forms and the modular orbifold of elliptic curves. Int. J.Number Theory 13(2017), no. 1, 39–63.

MR3573411 Jones, Lenny; White, Daniel On primitivecovering numbers. Int. J. Number Theory 13 (2017), no. 1, 27–37.

MR3573409 Cho, Peter J.; Kim, Henry H. Central limittheorem for Artin L-functions. Int. J. Number Theory 13 (2017), no. 1, 1–14.

MR3573162 Anbar, Nurdagül; Bassa, Alp; Beelen, Peter Corrigendum to"A modular interpretation of various cubic towers'' [J. Number Theory 171(2017) 341–357] [MR3556689]. J.Number Theory 172(2017), 416.

MR3573161 Vatne, JonEivind The sequence of middle divisors is unbounded. J. NumberTheory 172 (2017),413–415.

MR3573160 Ganguli, Abhik On thereduction modulo p of certain modular p-adic Galoisrepresentations. J. Number Theory 172 (2017), 392–412.

MR3573159 James, Kevin; Pollack, Paul Extremal primesfor elliptic curves with complex multiplication. J. Number Theory 172 (2017), 383–391.

MR3573158 Aymone, M.; Sidoravicius, V. Partial sums ofbiased random multiplicative functions. J. Number Theory 172 (2017), 343–382.

MR3573157 Deng, Calvin Davenportconstant for commutative rings. J. Number Theory 172 (2017), 321–342.

MR3573154 Burrin, Claire GeneralizedDedekind sums and equidistribution mod1. J. NumberTheory 172 (2017),270–286.

MR3573152 Fernando,Neranga Reversed Dickson polynomials of the (k+1)-th kind over finitefields. J. Number Theory 172 (2017), 234–255.

MR3573151 Kataoka,Takenori A consequence of Greenberg's generalized conjecture on Iwasawainvariants of$\Bbb{Z}_p$-extensions. J. Number Theory 172 (2017), 200–233.

MR3573149 Harrington,Joshua; Jones, Lenny; Phillips,Tristan New primitive covering numbers and their properties. J.Number Theory 172(2017), 160–177.

MR3573146 Amou, Masaaki; Väänänen, Keijo On algebraicindependence of a class of infinite products. J. Number Theory 172 (2017), 114–132.

MR3573145 Panzer, Erik The paritytheorem for multiple polylogarithms. J. Number Theory 172 (2017), 93–113.

MR3573144 Varela Roldán,Enrico Representation theory of Drinfeld modular forms oflevel $T$. J. Number Theory 172 (2017), 63–92.

MR3573143 Ikeda, Tamotsu On thefunctional equation of the Siegel series. J. Number Theory 172 (2017), 44–62.

MR3573142 Xu, Zhao Sign changes ofHecke eigenvalue of primitive cusp forms. J. Number Theory 172 (2017), 32–43.

MR3573141 Ferreira, E. M.; Kohara, A. K.; Sesma, J. New properties ofthe Lerch's transcendent. J. Number Theory 172 (2017), 21–31.

MR3573140 Borda, Bence On the theoremof Davenportand generalized Dedekind sums. J. Number Theory172 (2017), 1–20.

MR3573136 Lee, Jongsil; Mc Laughlin,James; Sohn, Jaebum Applications ofthe Heine and Bauer-Muir transformations to Rogers-Ramanujan type continuedfractions. J. Math. Anal. Appl. 447 (2017), no. 2, 1126–1141.

MR3570142 Jennings-Shaffer,C. Exotic Bailey-Slater SPT-functions I: Group A. Adv. Math. 305 (2017), 479–514.

MR3570136 Lewko, Mark; Radziwiłł,Maksym Refinements of Gál's theorem and applications. Adv. Math. 305 (2017), 280–297.

MR3570134 Komornik, Vilmos; Kong, Derong; Li, Wenxia Hausdorffdimension of univoque sets and devil's staircase. Adv. Math. 305 (2017), 165–196.

MR3566491 Lascu, Dan Corrigendum to"Dependence with complete connections and the Gauss-Kuzmin theoremfor $N$-continued fractions'' [J. Math. Anal. Appl. 444 (2016) 610–623] [MR3523394]. J.Math. Anal. Appl. 447(2017), no. 1, 681.

MR3566486 Wang, Chun; Zhang, Wenlong A unified proofof Ramanujan-type congruences modulo 5 for 4-colored generalized Frobeniuspartitions. J. Math. Anal. Appl. 447 (2017), no. 1, 542–549.

MR3566480 Si, Xin; Xu, Ce; Zhang, Mingyu Quadratic andcubic harmonic number sums. J. Math. Anal. Appl.447 (2017), no. 1, 419–434.

MR3566091 Mortenson, EricT. A double-sum Kronecker-type identity. Adv. in Appl. Math. 82 (2017), 155–177.

MR3565444 García-Marco,Ignacio; RamírezAlfonsín, Jorge L.; Rødseth, Øystein J. Numerical semigroups II:Pseudo-symmetric AA-semigroups. J. Algebra 470 (2017), 484–498.

MR3565363 Parry, Daniel; Rhoades, RobertC. On Dyson's crank distribution conjecture and its generalizations.Proc.Amer. Math. Soc. 145(2017), no. 1, 101–108.

MR3565360 Götze, Friedrich; Kaliada, Dzianis; Zaporozhets, Dmitry Distribution ofcomplex algebraic numbers.Proc. Amer. Math. Soc. 145 (2017), no. 1, 61–71.

MR3565357 Ogasawara,Takeshi On Hecke modules generated by eta-products and imaginary quadraticfields.Proc. Amer. Math. Soc. 145 (2017), no. 1, 23–37.

MR3563036 Li, Xian-Jin An orthogonalprojection related to the Riemann zeta-function. J. Math. Anal. Appl. 446 (2017), no. 2, 1310–1327.

MR3563017 Sakugawa, Kenji; Seki,Shin-ichiro On functional equations of finitemultiple polylogarithms. J. Algebra 469 (2017), 323–357.

MR3562761 Naika, M. S.Mahadeva; Bairy, K. Sushan; Gireesh, D. S.; Suman, N. P. Jacobi-Sohncketype mixed modular equations and their applications to overpartitions. Palest.J. Math. 6 (2017), no.1, 228–237.

MR3562749 Surekha, M. S. On the modularrelations and dissections for a continued fraction of order sixteen.Palest.J. Math. 6 (2017), no.1, 119–132.

MR3562746 Aktaş, İbrahim; Köse, Hasan On specialnumber sequences via Hessenberg matrices. Palest. J. Math. 6 (2017), no. 1, 94–100.

MR3562537 Tafazolian,Saeed; Torres, Fernando A note oncertain maximal curves. Comm. Algebra 45 (2017), no. 2, 764–773.

MR3561631 Harari, David Cohomologiegaloisienne et théorie du corps de classes. (French) [Galois cohomology and class field theory]Savoirs Actuels (Les Ulis). [Current Scholarship (Les Ulis)] EDPSciences, Les Ulis; CNRS éditions, Paris, 2017. vi+344 pp. ISBN: 978-2-7598-2066-5;978-2-271-09509-1

MR3557806 Fernández, Julio; González, Josep Functions anddifferentials on the non-split Cartan modular curve of level 11. Math.Comp. 86 (2017), no. 303,437–454.

MR3557805 Kamalinejad, Ali; Shahshahani,Mehrdad On computations with dessins d'enfants. Math. Comp. 86 (2017), no. 303, 419–436.

MR3557804 Barbulescu,Razvan; Lachand, Armand Somemathematical remarks on the polynomial selection in NFS. Math. Comp. 86 (2017), no. 303, 397–418.

MR3573390 Sun, Brian Y.; Xie, Matthew H.Y.; Yang, Arthur L.B. Melham's conjecture on odd power sums of Fibonacci numbers. Quaest.Math. 39 (2016), no. 7,945–957.

MR3573387 Hoque, Azizul; Saikia, Helen K. On theclass-number of the maximal real subfield of a cyclotomic field. Quaest.Math. 39 (2016), no. 7,889–894.

MR3572771 Mortenson, Eric Ramanujan'sradial limits and mixed mock modular bilateral q-hypergeometricseries. Proc. Edinb. Math. Soc. (2) 59 (2016), no. 3, 787–799.

MR3572742 Sono, Keiju Paircorrelation of low-lying zeros of quadratic L-functions. Nagoya Math. J. 223 (2016), no. 1, 87–135.

MR3572740 Zhao, Lilu The quadraticform in nine prime variables. NagoyaMath. J. 223 (2016),no. 1, 21–65.

MR3572021 Guo, Victor J.W.; Mao, Guo-Shuai; Pan, Hao Proof of aconjecture involving Sun polynomials. J. Difference Equ. Appl. 22 (2016), no. 8, 1184–1197.

MR3572014 Dummit, Evan P.; Hablicsek,Márton; Harron, Robert; Jain, Lalit; Pollack, Robert; Ross, DanielExplicit computationsof Hida families via overconvergent modular symbols. Res. Number Theory 2 (2016), Art. 25, 54 pp.

MR3571345 Lan, Kai-Wen Vanishingtheorems for coherent automorphic cohomology. Res. Math. Sci. 3 (2016), Paper No. 39, 43 pp.

MR3571152 Schlage-Puchta,Jan-Christoph The exponents in the primedecomposition of factorials. Arch. Math. (Basel) 107 (2016), no. 6, 603–608.

MR3560591 Guan, Chun Mei; Zhang, Si Bao Two equationson the Euler function ϕ(n). (Chinese) Math. Pract. Theory 46 (2016), no. 9, 221–225.

MR3560169 Minenkov, D. S.; Nazaĭkinskiĭ, V.E.; Chernyshev, V.L. On Bose-Maslov statistics in the case of an infinite number ofdegrees of freedom. (Russian); translatedfrom Dokl. Akad. Nauk 468 (2016), no. 6, 618--621Dokl. Math. 93 (2016), no. 3, 326–328

MR3559793 Sargsyan, V. G. Estimates forthe number of (k,l)-sumsin a finite abelian group. (Russian)Diskret. Mat. 28 (2016), no. 2, 71–80.

MR3559789 Kamlovskiĭ, O.V. A spectral method for estimating the number of solutions of systemsof nonlinear equations with linear recurrent arguments. (Russian) Diskret.Mat. 28 (2016), no. 2,27–43.

MR3559747 Bailey, David H.; Borwein,Jonathan M. Pi: the next generation. A sourcebook on the recent history of Piand its computation. Companion volume to [MR1467531],[MR1746004] and [MR2065455]. With a foreword by Bruce C. Berndt. Springer,[Cham], 2016. xiv+507pp. ISBN: 978-3-319-32375-6; 978-3-319-32377-0

MR3559735 Zaccagnini, Alessandro Mechanisms thatproduce prime numbers. (Italian) Mat. Cult.Soc. Riv. Unione Mat. Ital. (I) 1 (2016), no. 1, 5–19.

MR3558624 Fu, Rui Qin; Yang, Hai Two problemsconcerning the Diophantine equation x2−Dy2=±2.(Chinese) J. Inn. Mong. Norm. Univ. Nat. Sci. 45 (2016), no. 3, 307–309, 314.

MR3558431 Bugeaud, Yann; Gustavo Moreira,Carlos Variations autour d'un théorème métrique de Khintchine.(French) [Variations on a metric theoremof Khintchine] Bull. Soc. Math. France 144 (2016), no. 3, 507–538.

MR3558428 Enriquez,Benjamin Analogues elliptiques des nombres multizétas. (French) [Elliptic analogues of multiplezeta values] Bull. Soc. Math. France 144 (2016), no. 3, 395–427.

MR3558070 de Quehen,Victoria; Hatami, Hamed On the additivebases problem in finite fields. Electron. J. Combin. 23 (2016), no. 3, Paper 3.33, 5 pp.

MR3558043 Han, Sandie; Masuda, ArianeM.; Singh, Satyanand; Thiel, Johann Orphans inforests of linear fractional transformations. Electron. J. Combin. 23 (2016), no. 3, Paper 3.6, 24 pp.

MR3558024 Lü, Xiaodong; Mu, Quanwu The sum ofdivisors of mixed powers. Adv. Math. (China) 45 (2016), no. 3, 357–364.

MR3558009 Liu, Xinyuan; Fang, Jinhui A note onadditive complements. Adv. Math. (China) 45 (2016), no. 4, 533–536.

MR3558008 He, Yuan; Yu, Yahui Some formulaeof products of Frobenius-Euler polynomials with applications.Adv. Math. (China) 45 (2016), no. 4, 520–532.

MR3558007 Shen, Zhongyan; Cai, Tianxin; Hu, Mengjun On the parityof the generalized Euler function (II).Adv. Math. (China) 45 (2016), no. 4, 509–519.

MR3557586 Horníček, Jan; Kureš, Miroslav; Macálková, Lenka Some propertiesof orders of quaternion algebras with regard to the discrete norm. Math.Bohem. 141 (2016),no. 3, 385–405.

MR3557585 Azizi,Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed On the strongly ambiguous classes ofsome biquadratic number fields. Math. Bohem. 141 (2016), no. 3, 363–384.

MR3557459 Chang, Wen-Yao; Cheng, Chih-Ren; Leu, Ming-Guang A remark on thering of algebraic integers inQ(−d−−−√). IsraelJ. Math. 216 (2016),no. 2, 605–616.

MR3557456 Choi, Dohoon; Lim, Subong Finite-dimensionalperiod spaces for the spaces of cusp forms. Israel J. Math. 216 (2016), no. 2, 507–543.

MR3556179 Joyce, G. S. On the Laurentseries for the Epstein zeta function. J. Phys. A 49 (2016), no. 40, 405204, 17 pp.

MR3525906 Rubinstein,Michael Riemann's influence in number theory from a computational andexperimental perspective. The legacy of Bernhard Riemann after onehundred and fifty years. Vol. II, 633–679, Adv. Lect. Math. (ALM), 35.2, Int. Press, Somerville, MA, 2016.

MR3525873 Li, Xiaochun A simpleintroduction to Hardy-Littlewood circle method. Lectures on theanalysis of nonlinear partial differential equations. Part 4, 93–113, Morningside Lect. Math., 4, Int. Press, Somerville, MA,2016.

MR3524971 Wu, Zhengang Severalidentities relating to Riemann zeta-function. Bull. Math. Soc. Sci.Math. Roumanie (N.S.) 59(107)(2016), no. 3, 285–294.

MR3524977 Prasad, Bandhu Multivariableextension of m sequences for Fibonacci numbers incryptography.Control Cybernet. 44 (2015), no. 4, 519–526.

MR3444266 Reductions ofShimura varieties. Abstractsfrom the workshop held August 23–29, 2015. Organized by Laurent Fargues, UlrichGörtz, Eva Viehmann and Torsten Wedhorn. OberwolfachRep. 12 (2015), no. 3,2265–2328.

MR3444259 Explicitmethods in number theory. Abstractsfrom the workshop held July 5–11, 2015. Organized by Karim Belabas, BjornPoonen and Fernando Rodriguez Villegas. OberwolfachRep. 12 (2015), no. 3,1809–1866.

MR3561306 Kalyada, D. U. On thedistribution of real algebraic numbers of given degree. (Belorussian) Dokl. Nats.Akad. Nauk Belarusi 56(2012), no. 3, 28–33, 125.

MR3589830 Gould, H. W.; Shonhiwa, Temba A catalog ofinteresting Dirichlet series. MissouriJ. Math. Sci. 20(2008), no. 1, 1–17.

MR3582123 Carlitz, L. Somedeterminants containing powers of Fibonacci numbers. Fibonacci Quart. 4 (1966), no. 2, 129–134.