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MR2015年1月份数论最新文献题录184条（见附件）
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MR2015年1月份数论最新文献题录184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月份数论研究最新文献摘录部分如下（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
MR2015-1-184 for Number Theory.pdf
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MR3282197 Pending Fu, Hao; Han, Guo-Niu On
t-extensions of the Hankel determinants of certain automatic sequences.
t-extensions of the Hankel determinants of certain automatic sequences. Theoret. Comput. Sci. 562 (2015), 46–56. 11C20 (05A05 05A19 11B75)MR3281697 Pending Luca, Florian; Pizarro-Madariaga, Amalia; Pomerance, Carl On the counting function of irregular primes. Indag. Math. (N.S.) 26 (2015), no. 1, 147–161. 11N05
MR3281694 Pending Derksen, H.; Masser, D. Linear equations over multiplicative groups, recurrences, and mixing II. Indag. Math. (N.S.) 26 (2015), no. 1, 113–136. 11D04 (11D72 11G35 11G50)
MR3281687 Pending Akiyama, Shigeki; Thuswaldner, Jörg M.; Zaïmi, Toufik Comments on the height reducing property II. Indag. Math. (N.S.) 26 (2015), no. 1, 28–39. 11R04 (11R06 12F05)
MR3281686 Pending Akiyama, Shigeki; Thuswaldner, Jörg M.; Zaïmi, Toufik Characterisation of the numbers which satisfy the height reducing property. Indag. Math. (N.S.) 26 (2015), no. 1, 24–27.11R04 (12F05)
MR3274028 Pending Carlini, Enrico; Oneto, Alessandro Monomials as sums of kth-powers of forms.Comm. Algebra 43 (2015), no. 2, 650–658. 11P05 (13F20 13P05)
MR3274013 Pending Stern, Leonid On the distribution of norm groups of algebraic number fields.Comm. Algebra 43 (2015), no. 2, 423–439. 11R32 (11R37)
MR3280955 Pending Lim, Meng Fai A remark on the MH(G)-conjecture and Akashi series. Int. J. Number Theory 11 (2015), no. 1, 269–297. 11R23 (11F80 11G05 11R34)
MR3280954 Pending Parry, Daniel A polynomial variation of Meinardus' theorem. Int. J. Number Theory 11 (2015), no. 1, 251–268. 11P55 (11C08 11M41 11P82)
MR3280953 Pending Saradha, N.; Shorey, T. N. Squares in blocks from an arithmetic progression and Galois group of Laguerre polynomials. Int. J. Number Theory 11 (2015), no. 1, 233–250. 11D61
MR3280951 Pending Bugeaud, Yann; Pejković, Tomislav Quadratic approximation in Qp. Int. J. Number Theory 11 (2015), no. 1, 193–209. 11J61 (11J70)
MR3280950 Pending Alba González, Juan José; Berrizbeitia, Pedro; Luca, Florian On the formula Fp=u2+pv2. Int. J. Number Theory 11 (2015), no. 1, 185–191. 11B39
MR3280949 Pending Ye, Dongxi Evaluation of the convolution sums ∑l+36m=nσ(l)σ(m) and ∑4l+9m=nσ(l)σ(m). Int. J. Number Theory 11 (2015), no. 1, 171–183. 11E20 (11A25 11E25 11F20)
MR3280948 Pending Cai, Tianxin; Chen, Deyi; Zhang, Yong Perfect numbers and Fibonacci primes (I).Int. J. Number Theory 11 (2015), no. 1, 159–169. 11D09 (11B83 11D25)
MR3280946 Pending Yamamoto, Shuji A sum formula of multiple L-values. Int. J. Number Theory 11(2015), no. 1, 127–137. 11M32 (40B05)
MR3280945 Pending Fernández, José L.; Fernández, Pablo Asymptotic normality and greatest common divisors. Int. J. Number Theory 11 (2015), no. 1, 89–126. 11N37 (60F05)
MR3280944 Pending Freitas, Nuno; Tsaknias, Panagiotis Criteria for p-ordinarity of families of elliptic curves over infinitely many number fields. Int. J. Number Theory 11 (2015), no. 1, 81–87. 11G05 (11D41)
MR3280943 Pending Wang, Shaozu Maximal height of divisors of xpqb−1. Int. J. Number Theory 11(2015), no. 1, 67–79. 11B83 (11C08 11N56)
MR3280942 Pending Sun, Qingfeng On effective determination of symmetric-square lifts, level aspect.Int. J. Number Theory 11 (2015), no. 1, 51–65. 11F67 (11F11 11F66)
MR3280939 Pending Bennett, Michael A.; Chen, Imin; Dahmen, Sander R.; Yazdani, SorooshGeneralized Fermat equations: a miscellany. Int. J. Number Theory 11 (2015), no. 1, 1–28. 11D41 (11D61 11G05 14G05)
MR3280046 Pending Böcherer, Siegfried; Das, Soumya Linear independence of Poincaré series of exponential type via non-analytic methods. Trans. Amer. Math. Soc. 367 (2015), no. 2, 1329–1345.11F30 (11F46)
MR3275848 Pending Andreatta, Fabrizio; Iovita, Adrian; Pilloni, Vincent p-adic families of Siegel modular cuspforms. Ann. of Math. (2) 181 (2015), no. 2, 623–697. 11F46 (11F85)
MR3275847 Pending Bhargava, Manjul; Shankar, Arul Ternary cubic forms having bounded invariants, and the existence of a positive proportion of elliptic curves having rank 0. Ann. of Math. (2) 181(2015), no. 2, 587–621. 11G05 (11E20 14Gxx)
MR3272082 Pending Lang, Cheng Lien; Lang, Mong Lung Wohlfahrt's Theorem for the Hecke group G5. J. Algebra 422 (2015), 341–356. 11F06
MR3272073 Pending Yu, Chia-Fu Variations of mass formulas for definite division algebras. J. Algebra422 (2015), 166–186. 11R52 (11R58)
MR3279269 Pending Kim, Byungchan; Kim, Eunmi; Seo, Jeehyeon Asymptotics for q-expansions involving partial theta functions. Discrete Math. 338 (2015), no. 2, 180–189. 11B65 (05A17)
MR3277077 Pending Sîntămărian, Alina Sharp estimates regarding the remainder of the alternating harmonic series. Math. Inequal. Appl. 18 (2015), no. 1, 347–352. 11Y60 (40B05 41A58 41A60)
MR3276360 Pending Kim, Dae San; Kim, Taekyun Umbral calculus associated with Bernoulli polynomials. J. Number Theory 147 (2015), 871–882. 11B68 (05Exx)
MR3276359 Pending Zhang, Wenpeng; Han, Di A hybrid mean value of Dedekind sums and Kloosterman sums. J. Number Theory 147 (2015), 861–870. 11F20 (11L05)
MR3276358 Pending Xia, Ernest X. W. Proof of a conjecture of Baruah and Sarmah on generalized Frobenius partitions with 6 colors. J. Number Theory 147 (2015), 852–860. 11P83 (05A17)
MR3276357 Pending Platt, D. J.; Trudgian, T. S. An improved explicit bound on |ξ(12+it)|. J. Number Theory 147 (2015), 842–851. 11M06
MR3276356 Pending Sanna, Carlo On the sum of digits of the factorial. J. Number Theory 147 (2015),836–841. 11A63 (05A10 11A25)
MR3276355 Pending Kwon, DoYong A one-parameter family of Dirichlet series whose coefficients are Sturmian words. J. Number Theory 147 (2015), 824–835. 11M41 (11J82 26A30 68R15)
MR3276354 Pending Xiong, Maosheng Distribution of zeta zeroes for abelian covers of algebraic curves over a finite field. J. Number Theory 147 (2015), 789–823. 11G20 (11M38 11T55)
MR3276353 Pending Van Gorder, Robert A. Does the Riemann zeta function satisfy a differential equation? J. Number Theory 147 (2015), 778–788. 11M06 (34A35)
MR3276352 Pending Bush, Michael R.; Mayer, Daniel C. 3-class field towers of exact length 3. J. Number Theory 147 (2015), 766–777. 11R37 (11R11 11R29 20D15 20F14)
MR3276350 Pending Yamashita, Go; Yasuda, Seidai On some applications of integral p-adic Hodge theory to Galois representations. J. Number Theory 147 (2015), 721–748. 11F33
MR3276348 Pending Sun, Zhi-Hong New reciprocity laws for octic residues and nonresidues. J. Number Theory 147 (2015), 694–707. 11A15 (11A07 11B39 11E25)
MR3276347 Pending Williams, Kenneth S. Historical remark on a theorem of Zhang and Yue. J. Number Theory 147 (2015), 691–693. 11R27 (11D09)
MR3276346 Pending Lin, Yi-Hsuan; Tu, Fang-Ting Twisted Kloosterman sums. J. Number Theory 147(2015), 666–690. 11L05
MR3276345 Pending Chida, Masataka; Mok, Chung Pang; Park, Jeehoon On Teitelbaum type L-invariants of Hilbert modular forms attached to definite quaternions. J. Number Theory 147 (2015),633–665. 11F41
MR3276344 Pending Liu, Sheng-Chi Simultaneous nonvanishing of automorphic L-functions. J. Number Theory 147 (2015), 620–632. 11F11 (11M41)
MR3276342 Pending Hu, Liqun; Liu, Huafeng On pairs of four prime squares and powers of two. J. Number Theory 147 (2015), 594–604. 11P32 (11P05 11P55)
MR3276340 Pending Guàrdia, Jordi; Montes, Jesús; Nart, Enric Higher Newton polygons and integral bases. J. Number Theory 147 (2015), 549–589. 11R04 (11Y40 14G15 14H05)
MR3276338 Pending Baker, Simon On small bases which admit countably many expansions. J. Number Theory 147 (2015), 515–532. 11A63 (37A45)
MR3276337 Pending Melfi, Giuseppe On the conditional infiniteness of primitive weird numbers. J. Number Theory 147 (2015), 508–514. 11A25 (11B83)
MR3276335 Pending Dil, Ayhan; Boyadzhiev, Khristo N. Euler sums of hyperharmonic numbers. J. Number Theory 147 (2015), 490–498. 11M06 (11B73 11B83)
MR3276334 Pending Childress, Nancy; Zinzer, Scott On λ-invariants associated to linear extensions of the product ordering on Nd. J. Number Theory 147 (2015), 478–489. 11F85
MR3276332 Pending Gon, Yasuro Differences of the Selberg trace formula and Selberg type zeta functions for Hilbert modular surfaces. J. Number Theory 147 (2015), 396–453. 11M36 (11F72)
MR3276330 Pending Bober, Jonathan; Conrey, J. Brian; Farmer, David W.; Fujii, Akio; Koutsoliotas, Sally; Lemurell, Stefan; Rubinstein, Michael; Yoshida, Hiroyuki The highest lowest zero of general L-functions. J. Number Theory 147 (2015), 364–373. 11M41
MR3276329 Pending Jeon, Daeyeol; Kim, Chang Heon; Lee, Yoonjin Families of elliptic curves with prescribed torsion subgroups over dihedral quartic fields. J. Number Theory 147 (2015), 342–363.11G05 (11G18)
MR3276328 Pending Sun, Zhi-Wei Supercongruences motivated by e. J. Number Theory 147 (2015),326–341. 11B65 (05A10 11A07 11B68)
MR3276327 Pending Fang, Jiangxue Special L-values of abelian t-modules. J. Number Theory 147(2015), 300–325. 11G09 (11R58 13Cxx 14Fxx)
MR3276326 Pending Zhang, Yong; Cai, Tianxin On products of consecutive arithmetic progressions. J. Number Theory 147 (2015), 287–299. 11D25 (11D72 11G05)
MR3276325 Pending Ganguli, Abhik; Ghate, Eknath Reductions of Galois representations via the modplocal Langlands correspondence. J. Number Theory 147 (2015), 250–286. 11F80
MR3276324 Pending Dixit, Atul; Moll, Victor H. Self-reciprocal functions, powers of the Riemann zeta function and modular-type transformations. J. Number Theory 147 (2015), 211–249. 11M06 (33C10)
MR3276323 Pending Tsushima, Takahiro On the stable reduction of the Lubin-Tate curve of level two in the equal characteristic case. J. Number Theory 147 (2015), 184–210. 11S37 (11G18)
MR3276322 Pending Liu, Huaning On the mean values of Dirichlet L-functions. J. Number Theory 147(2015), 172–183. 11M06 (11B68 11F20)
MR3276318 Pending Palmer, Matthew Diagonal approximation in completions of Q. J. Number Theory147 (2015), 109–132. 11J61 (11J83)
MR3276317 Pending Ai, Xiaochuan; Chen, Jianhua; Zhang, Silan; Hu, Hao Complete solutions of the simultaneous Pell equations x2−24y2=1 and y2−pz2=1. J. Number Theory 147 (2015), 103–108.11D09
MR3276315 Pending McIntosh, Richard J.; Dipra, Mitra Carmichael numbers with p+1|n+1. J. Number Theory 147 (2015), 81–91. 11A51 (11B39 11Y11 11Y50)
MR3276314 Pending Lu, Dawei; Song, Lixin; Yu, Yang Some new continued fraction approximation of Euler's constant. J. Number Theory 147 (2015), 69–80. 11Y60 (11A55 41A25)
MR3276313 Pending Do, Thao; Kulkarni, Archit; Miller, Steven J.; Moon, David; Wellens, Jake Sums and differences of correlated random sets. J. Number Theory 147 (2015), 44–68. 11B13 (05B10 11K99 11P99 82B26)
MR3276312 Pending Bengoechea, Paloma From quadratic polynomials and continued fractions to modular forms. J. Number Theory 147 (2015), 24–43. 11E12 (11F03)
MR3276311 Pending Hou, Xiang-Dong; Lappano, Stephen D. Determination of a type of permutation binomials over finite fields. J. Number Theory 147 (2015), 14–23. 11T06 (11T55)
MR3276310 Pending Rosales, J. C.; Branco, M. B.; Torrão, D. Sets of positive integers closed under product and the number of decimal digits. J. Number Theory 147 (2015), 1–13. 11N25 (11D07 20M14)
MR3278050 Indexed Duman, Merve Güney Positive integer solutions of some Pell equations.Matematika (Johor) 30 (2014), no. 1, 97–108. 11D09 (11A55 11B39)
MR3244236 Pending Hörmann, Fritz The geometric and arithmetic volume of Shimura varieties of orthogonal type. CRM Monograph Series, 35. American Mathematical Society, Providence, RI, 2014. vi+152 pp. ISBN: 978-1-4704-1912-7 11G18 (11F23 11F27 14G35 14G40)
MR3243939 Pending Ömür, Neşe; Koparal, Sibel Some congruences involving numbers Bp,k−d. Util. Math. 95 (2014), 307–317. 11B68 (05A10 11B65)
MR3213212 Pending Faugère, Jean-Charles; Huot, Louise; Joux, Antoine; Renault, Guénaël; Vitse, Vanessa Symmetrized summation polynomials: using small order torsion points to speed up elliptic curve index calculus. Advances in cryptology—EUROCRYPT 2014, 40–57, Lecture Notes in Comput. Sci., 8441, Springer, Heidelberg, 2014. 11T71
MR3287547 Pending Korolëv, M. A. Moments of trigonometric polynomials and their application in the theory of the Riemann zeta function. (Russian) Dokl. Akad. Nauk 456 (2014), no. 3, 272–274. 11M06 (11M26)
MR3281653 Pending Kudla, Stephen; Rapoport, Michael Special cycles on unitary Shimura varieties II: Global theory. J. Reine Angew. Math. 697 (2014), 91–157. 11G18 (14G35)
MR3281651 Pending Cogolludo-Agustín, Jose-Ignacio; Libgober, Anatoly Mordell-Weil groups of elliptic threefolds and the Alexander module of plane curves. J. Reine Angew. Math. 697 (2014), 15–55.11G05 (14H50 14J30)
MR3281650 Pending Yeung, Sai-Kee Holomorphic one-forms, integral and rational points on complex hyperbolic surfaces. J. Reine Angew. Math. 697 (2014), 1–14. 11G18 (14Jxx 32Q45)
MR3290686 Pending Davis, Christopher; Wan, Daqing L-functions of p-adic characters. Nagoya Math. J. 213 (2014), 77–104. 11G40 (13F35)
MR3277919 Pending Hoque, Azizul; Saikia, Helen K. On generalized Mersenne prime. Se→MA J. 66(2014), 1–7. 11A25 (11R29 11Y70)
MR3243677 Pending Müller, Tom Irrationalitätsbeweise. (German) [Proofs of irrationality] Berliner Studienreihe zur Mathematik [Berlin Study Series on Mathematics], 25. Heldermann Verlag, Lemgo,2014. 209 pp. ISBN: 978-3-88538-125-9 11J72
MR3280866 Pending Ryoo, C. S. Dynamics of the zeros of analytic continued (h,q)-Euler polynomials.Abstr. Appl. Anal. 2014, Art. ID 537864, 9 pp. 11B65
MR3276063 Pending Grubb, D. J. Factoring Chebyshev polynomials. Fibonacci Quart. 52 (2014), no. 4,360–366. 11B39 (12E10)
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