MR2016年1月份数论最新文献题录186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月份收录文献总量为8854条，其中数论研究最新文献题录186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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MR3418066 Guitart, Xavier; Masdeu, Marc; Şengün, Mehmet Haluk Uniformization of modular ellipticcurves via p-adic periods. J. Algebra 445 (2016), 458–502.

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MR3415707 Wang, Liuquan Explicit formulas for partition pairsand triples with 3-cores. J. Math. Anal. Appl. 434 (2016), no. 2, 1053–1064.

MR3415576 Fité, Francesc; Shparlinski, Igor E. On the singularity of the Demjanenkomatrix of quotients of Fermat curves.Proc. Amer. Math. Soc. 144 (2016), no. 1, 55–63.

MR3417746 Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed On some metabelian 2-groups andapplications I.Colloq. Math. 142 (2016), no. 1, 99–113.

MR3415696 Gille, Stefan; Scully, Stephen; Zhong, Changlong Milnor-Witt K-groups of localrings. Adv. Math. 286 (2016), 729–753.

MR3404560 Robles, Nicolas; Roy, Arindam; Zaharescu, Alexandru Twisted second moments of the Riemannzeta-function and applications. J. Math. Anal. Appl. 434 (2016), no. 1, 271–314.

MR3414410 Tafazolian, Saeed; Teherán-Herrera, Arnoldo; Torres, Fernando Further examples of maximal curveswhich cannot be covered by the Hermitian curve. J. Pure Appl. Algebra 220 (2016), no. 3, 1122–1132.

MR3414403 Berkove, Ethan; Rahm, Alexander D. The mod 2 cohomology rings of SL2 of theimaginary quadratic integers.Withan appendix by Aurel Page. J. Pure Appl. Algebra 220 (2016), no. 3, 944–975.

MR3414262 Azizi, Abdelmalek; Talbi, Mohammed; Talbi, Mohamed Sur la tour de Hilbert de certainscorps. (French) [On theHilbert tower of certain fields] Bol. Soc. Parana. Mat. (3) 34 (2016), no. 2, 107–112.

MR3414259 Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed On some metabelian 2-group andapplications II.Bol. Soc. Parana. Mat. (3) 34 (2016), no. 2, 75–85.

MR3412732 Jeon, Daeyeol; Kang, Soon-Yi; Kim, Chang Heon Corrigendum to "WeakMaass-Poincaré series and weight 3/2 mock modular forms'' [J. Number Theory 133(8) (2013) 2567–2587] [MR3045203]. J.Number Theory 159(2016), 434–435.

MR3412731 Virdol, Cristian Cyclic components of abelian varieties (mod℘). J. NumberTheory 159 (2016),426–433.

MR3412729 Bajnok, Béla; Matzke, Ryan On the minimum size of signed sumsetsin elementary abelian groups. J. Number Theory 159 (2016), 384–401.

MR3412728 Hou, Fei; Lü, Guangshi Oscillations of Fourier coefficients ofcusp forms over primes. J. Number Theory 159 (2016), 370–383.

MR3412727 Oruç, A. Yavuz On number of partitions of an integerinto a fixed number of positive integers. J. Number Theory 159 (2016), 355–369.

MR3412726 álvarez, A. A calculation of L-series in terms ofJacobi sums. J. Number Theory 159 (2016), 340–354.

MR3412725 Araci, Serkan; Acikgoz, Mehmet On the von Staudt–Clausen's theoremrelated to q-Frobenius–Euler numbers. J. Number Theory 159 (2016), 329–339.

MR3412724 Nair, Saranya G.; Shorey, T. N. Lower bounds for the greatest primefactor of product of consecutive positive integers. J. Number Theory 159 (2016), 307–328.

MR3412723 Dong Quan, Nguyen Ngoc Some basicresults in elementary number theory in function fields. J. NumberTheory159 (2016), 295–306.

MR3412720 Liu, H.-Q. On the distribution of squarefreenumbers. J. Number Theory 159 (2016), 202–222.

MR3412718 Liu, H.-Q. The distribution of squarefull integers(II). J. Number Theory 159 (2016), 176–192.

MR3412717 Xia, Ernest X. W. Arithmetic properties of partitionswith designated summands. J. Number Theory 159 (2016), 160–175.

MR3412716 Tsuyumine, Shigeaki Sums of three squares under congruencecondition modulo a prime. J. Number Theory 159 (2016), 123–159.

MR3412715 Gawron, Maciej; Ulas, Maciej On primitive integer solutions of theDiophantine equation t2=G(x,y,z) and relatedresults. J. Number Theory 159 (2016), 101–122.

MR3412714 Qi, Feng; Chapman, Robin J. Two closed forms for the Bernoullipolynomials. J. Number Theory 159 (2016), 89–100.

MR3412713 Shen, Luming; Li, Xinqiang The recurrence set arising in α-Lürothtransformation. J. Number Theory 159 (2016), 76–88.

MR3412712 Vasuki, K. R.; Veeresha, R. G. Ramanujan's Eisenstein series of level7 and 14. J. Number Theory 159 (2016), 59–75.

MR3412711 Languasco, Alessandro; Zaccagnini, Alessandro Sum of oneprime and two squares of primes in short intervals.J. Number Theory 159 (2016), 45–58.

MR3412710 Dubickas, Artūras; Sha, Min Positive density of integer polynomialswith some prescribed properties. J. Number Theory 159 (2016), 27–44.

MR3412709 Dutkay, Dorin Ervin; Haussermann, John Number theory problems from theharmonic analysis of a fractal. J. Number Theory 159 (2016), 7–26.

MR3412708 Sander, J. W. Sums of exceptional units in residueclass rings. J. Number Theory 159 (2016), 1–6.

MR3423680 Laishram, Shanta; Luca, Florian Rectangles of nonvisible latticepoints. J. Integer Seq. 18 (2015), no. 10, Article 15.10.8, 11 pp.

MR3423677 Fuller, Chris; Nichols, Robert H., Jr. Generalizedanti-Waring numbers. J. Integer Seq. 18 (2015), no. 10, Article 15.10.5, 14 pp.

MR3423676 Arias de Reyna, Juan; Heyman, Randell Counting tuples restricted by pairwisecoprimality conditions. J. Integer Seq. 18 (2015), no. 10, Article 15.10.4, 16 pp.

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MR3415676 Wright, Thomas Variants of Korselt's criterion. Canad.Math. Bull. 58 (2015),no. 4, 869–876.

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MR3415667 Hanson, Brandon Character sums over Bohr sets. Canad.Math. Bull. 58 (2015),no. 4, 774–786.

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MR3409947 Liu, Hua Ning; Dong, Hui Distribution of square-factor-freenumbers. (Chinese) J. NorthwestUniv. Nat. Sci. 45(2015), no. 1, 1–9.

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MR3408206 Li, Wen-Ching Winnie; Long, Ling Atkin and Swinnerton-Dyer congruencesand noncongruence modular forms.Algebraic number theory and related topics2012, 269–299, RIMSKôkyûroku Bessatsu, B51, Res. Inst. Math. Sci. (RIMS), Kyoto, 2014.

MR3408205 Kashio, Tomokazu A survey on Stark's conjectures and aresult of Dasgupta-Darmon-Pollack. Algebraic number theory and relatedtopics 2012, 229–268,RIMS Kôkyûroku Bessatsu, B51, Res. Inst. Math. Sci. (RIMS), Kyoto, 2014.

MR3408203 Chang, Chieh-Yu On characteristic p multizetavalues. Algebraic number theory and related topics 2012, 177–202, RIMS Kôkyûroku Bessatsu, B51, Res. Inst.Math. Sci. (RIMS), Kyoto, 2014.

MR3408202 Ishitsuka, Yasuhiro Complete intersection of two quadricsand Galois cohomology: a research announcement.(Japanese) Algebraic number theory and relatedtopics 2012, 163–174,RIMS Kôkyûroku Bessatsu, B51, Res. Inst. Math. Sci. (RIMS), Kyoto, 2014.

MR3408199 Ohshita, Tatsuya Higher fitting ideals of Iwasawamodules and Euler systems. Algebraic number theory and related topics2012, 139–149, RIMSKôkyûroku Bessatsu, B51, Res. Inst. Math. Sci. (RIMS), Kyoto, 2014.

MR3408198 Namikawa, Kenichi On constructions of theta functions on GSp4 and its modp nonvanishing. Algebraicnumber theory and related topics 2012, 127–138, RIMS Kôkyûroku Bessatsu, B51, Res. Inst.Math. Sci. (RIMS), Kyoto, 2014.

MR3408196 Mihara, Tomoki Singular homologies of non-archimedeananalytic spaces and integrals along cycles: a research announcement. Algebraicnumber theory and related topics 2012, 85–106, RIMS Kôkyûroku Bessatsu, B51, Res. Inst.Math. Sci. (RIMS), Kyoto, 2014.

MR3408193 Nomura, Jiro The 2-part of the non-abelianBrumer-Stark conjecture for extensions with group D4p and numericalexamples of the conjecture. Algebraic number theory and related topics2012, 33–53, RIMS KôkyûrokuBessatsu, B51, Res. Inst. Math. Sci. (RIMS), Kyoto, 2014.

MR3408180 Voros, André Zeta functions over zeros of zetafunctions and an exponential-asymptotic view of the Riemann hypothesis. Exponentialanalysis of differential equations and related topics, 147–164, RIMS Kôkyûroku Bessatsu, B52, Res. Inst.Math. Sci. (RIMS), Kyoto, 2014.

MR3408178 Sebbar, Ahmed Paperfolding and modular functions. Exponentialanalysis of differential equations and related topics, 97–126, RIMS Kôkyûroku Bessatsu, B52, Res. Inst.Math. Sci. (RIMS), Kyoto, 2014.

MR3408173 Napoletani, Domenico; Struppa, Daniele C. A phase integral approach inirrationality. Exponential analysis of differential equations andrelated topics, 1–10,RIMS Kôkyûroku Bessatsu, B52, Res. Inst. Math. Sci. (RIMS), Kyoto, 2014.