MR2015年12月份数论最新文献题录181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月份数论最新文献题录184条（见附件）；

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MR3405725 Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed Coclass of Gal(k(2)2/k) for some fieldsk=Q(p1p2q−−−−−√,−1−−−√) with 2-classgroups of types (2,2,2). J. Algebra Appl. 15 (2016), no. 2, 1650027, 26 pp.

MR3404502 He, Xiaoyu Zero-sum subsequences of length kq over finiteabelian p-groups. Discrete Math. 339 (2016), no. 1, 399–407.

MR3404492 Xiong, Huan On the largest size of (t,t+1,…,t+p)-corepartitions. Discrete Math. 339 (2016), no. 1, 308–317.

MR3404456 Krumm, David Computing points of bounded height inprojective space over a number field. Math. Comp. 85 (2016), no. 297, 423–447.

MR3404455 Hejda, Tomáš; Pelantová, Edita Spectral properties of cubic complexPisot units. Math. Comp. 85 (2016), no. 297, 401–421.

MR3404454 Anghel, Catalina V. The self-power map and collecting allresidue classes. Math. Comp. 85 (2016), no. 297, 379–399.

MR3404453 Cilleruelo, Javier; Luca, Florian; Pizarro-Madariaga, Amalia Carmichaelnumbers in the sequence (2nk+1)n≥1.Math. Comp. 85 (2016), no. 297, 357–377.

MR3404452 Ramaré, O. An explicit density estimate forDirichlet L-series. Math. Comp. 85 (2016), no. 297, 325–356.

MR3404451 Bailey, D. H.; Borwein, J. M. Computation and structure of characterpolylogarithms with applications to character Mordell-Tornheim-Wittensums. Math. Comp. 85 (2016), no. 297, 295–324.

MR3403079 Weinstein, Jared Reciprocity laws and Galoisrepresentations: recent breakthroughs. Bull. Amer. Math. Soc. (N.S.) 53 (2016), no. 1, 1–39.

MR3402698 Boyarchenko, Mitya; Weinstein, Jared Maximal varieties and the localLanglands correspondence for GL(n). J. Amer.Math. Soc. 29 (2016),no. 1, 177–236.

MR3393468 Sivatski, A. S. Zeros of certain quadratic forms overrational function fields and Prestel's theorem. J. Pure Appl. Algebra 220 (2016), no. 1, 411–421.

MR3411395 Rozensztajn, Sandra Potentially semi-stable deformationrings for discrete series extended types. J. éc. polytech. Math. 2 (2015), 179–211.

MR3411250 Schmidt, Wolfgang M. Integer matrices, sublattices of Zm, and Frobeniusnumbers. Monatsh. Math. 178 (2015), no. 3, 405–451.

MR3411247 Fortuny Ayuso, Pedro; Grau, José María; Oller-Marcén, Antonio M. A vonStaudt-type result for ∑z∈Zn[i]zk.Monatsh. Math. 178 (2015), no. 3, 345–359.

MR3408560 Kerins, Bowen; Yong, Darryl; Cuoco, Al; Stevens, Glenn Famous functions in numbertheory. IAS/PCMI—The TeacherProgram Series, 3. Mathematics for Teaching: A Problem-Based Approach. AmericanMathematical Society, Providence, RI; Institute for Advanced Study (IAS),Princeton, NJ, 2015.xi+203 pp. ISBN: 978-1-4704-2195-3

MR3407189 Jagadeesan, Ravi A new Gal(Qˉˉˉˉ/Q)-invariant of dessinsd'enfants. Proc. Lond. Math. Soc. (3) 111 (2015), no. 4, 911–935.

MR3404775 Dartyge, Cécile Le problème de Tchébychev pour ledouzième polynôme cyclotomique. (French) [The Chebyshev problem for the twelfth cyclotomic polynomial] Proc. Lond.Math. Soc. (3) 111(2015), no. 1, 1–62.

MR3404649 Disegni, Daniel p-adic heights ofHeegner points on Shimura curves. Algebra Number Theory 9 (2015), no. 7, 1571–1646.

MR3404647 Habegger, Philipp Singular moduli that are algebraicunits. Algebra Number Theory 9 (2015), no. 7, 1515–1524.

MR3404395 Quéguiner-Mathieu, Anne; Tignol, Jean-Pierre The Arason invariant of orthogonalinvolutions of degree 12 and 8, and quaternionic subgroups of the Brauergroup. Doc. Math. 2015, Extra vol.: Alexander S. Merkurjev's sixtieth birthday,529–576.

MR3404382 Hoffmann, Detlev W. Motivic equivalence and similarity ofquadratic forms. Doc. Math. 2015, Extra vol.: Alexander S. Merkurjev'ssixtieth birthday, 265–275.

MR3404381 Hida, Haruzo Limit Mordell-Weil groups andtheir p-adic closure. Doc. Math. 2015, Extra vol.: Alexander S. Merkurjev'ssixtieth birthday, 221–264.

MR3404376 Bayer-Fluckiger, Eva; Emery, Vincent; Houriet, Julien Hermitian lattices and bounds in K-theory of algebraicintegers. Doc. Math. 2015, Extra vol.: Alexander S. Merkurjev's sixtieth birthday,71–83.

MR3382033 Uludağ, A. Muhammed The modular group and itsactions. Handbook of group actions. Vol. II, 333–369, Adv. Lect. Math. (ALM), 32, Int. Press,Somerville, MA, 2015.

MR3418530 Roy, Damien On Schmidt and Summerer parametricgeometry of numbers. Ann. of Math. (2) 182 (2015), no. 2, 739–786.

MR3418527 Munshi, Ritabrata The circle method and bounds for L-functions—IV:subconvexity for twists of GL(3) L-functions. Ann.of Math. (2) 182(2015), no. 2, 617–672.

MR3416947 Grundman, H. G.; Hall-Seelig, L. L. Solutions to xyz=1 and x+y+z=k in algebraicintegers of small degree, II. Acta Arith. 171 (2015), no. 3, 257–276.

MR3416946 Lee, Min Ho Cohen-Kuznetsov liftings ofquasimodular forms. Acta Arith. 171 (2015), no. 3, 241–256.

MR3416945 Mazur, Przemysław A structure theorem for sets of smallpopular doubling. Acta Arith. 171 (2015), no. 3, 221–239.

MR3416944 Plagne, Alain; Tringali, Salvatore The Davenport constant of a box. ActaArith. 171 (2015),no. 3, 197–219.

MR3408059 Araci, Serkan; Şen, Erdoğan On a p-adic interpolatingfunction for the generalized Genocchi numbers and its behaviour at s=0. Ars Combin. 122 (2015), 439–447.

MR3406959 Bouillot, Olivier On Hurwitz multizeta functions. Adv.in Appl. Math. 71(2015), 68–124.

MR3406827 Bruinier, Jan Hendrik; Westerholt-Raum, Martin Kudla'smodularity conjecture and formal Fourier-Jacobi series.Forum Math. Pi 3 (2015), e7, 30 pp.

MR3411135 He, Bing Some congruences on truncatedhypergeometric series. Proc. Amer. Math. Soc. 143 (2015), no. 12, 5173–5180.

MR3411132 Kaczorowski, Jerzy; Perelli, Alberto General Ω-theorems forcoefficients of L-functions. Proc.Amer. Math. Soc.143 (2015),no. 12, 5139–5145.

MR3411127 Hoffmann, Detlev W. Witt kernels of quadratic forms formultiquadratic extensions in characteristic 2. Proc. Amer. Math. Soc. 143 (2015), no. 12, 5073–5082.

MR3411126 Johnston, Henri Explicit integral Galois modulestructure of weakly ramified extensions of local fields. Proc. Amer.Math. Soc. 143 (2015),no. 12, 5059–5071.

MR3411125 Dick, Josef; Pillichshammer, Friedrich The weightedstar discrepancy of Korobov's p-sets. Proc.Amer. Math. Soc. 143(2015), no. 12, 5043–5057.

MR3407607 Jaban, Meher; Sneh Bala, Sinha Some infinite sums identities. CzechoslovakMath. J. 65(140)(2015), no. 3, 819–827.

MR3407073 Luca, Florian; Mosima, Thato On the local minima of the order ofappearance function. Int. J. Math. Math. Sci.2015, Art. ID 823973, 3 pp.

MR3406500 Luo, Wenzhi Nonvanishing of the central L-values with largeweight. Adv. Math. 285 (2015), 220–234.

MR3411515 Jakimczuk, Rafael Logarithm of the greatest primefactor. Gulf J. Math. 3 (2015), no. 4, 35–45.

MR3406453 Bennett, Michael A.; Ghadermarzi, Amir Mordell's equation: a classicalapproach. LMS J. Comput. Math. 18 (2015), no. 1, 633–646.

MR3406452 Milio, Enea A quasi-linear time algorithm forcomputing modular polynomials in dimension 2. LMS J. Comput. Math. 18 (2015), no. 1, 603–632.

MR3406440 Badziahin, Dmitry; Bugeaud, Yann; Einsiedler, Manfred; Kleinbock, Dmitry On the complexity of a putativecounterexample to the p-adic Littlewoodconjecture. Compos. Math. 151 (2015), no. 9, 1647–1662.

MR3406439 Nekovář, Jan Compatibility of arithmetic andalgebraic local constants (the case ℓ≠p). Compos.Math. 151 (2015), no. 9,1626–1646.

MR3406438 Lei, Antonio; Loeffler, David; Zerbes, Sarah Livia Euler systems for modular forms overimaginary quadratic fields. Compos. Math. 151 (2015), no. 9, 1585–1625.

MR3382049 Nguyen, Viet Khac Some geometric-arithmetic aspects ofseparated variable curves. Singularities in geometry and topology2011, 161–172, Adv. Stud.Pure Math., 66, Math. Soc. Japan, Tokyo, 2015.

MR3381623 Chubarikov, Vladimir Nikolaevich; Fedorov, Gleb Vladimirovich Multiplicativeand additive problems of partitions of natural numbers. Continuous anddistributed systems. II, 29–36, Stud. Syst. Decis. Control, 30, Springer,Cham,2015.

MR3406358 Hakami, Ali H. Primitive zeros of quadraticforms modP2. TamkangJ. Math. 46 (2015),no. 3, 349–364.

MR3406019 Chakraborty, Debopam; Saikia, Anupam On relative class number and continuedfractions. Bull. Korean Math. Soc. 52 (2015), no. 5, 1559–1568.

MR3406012 Karaatli, Olcay; Keskin, Refik Generalized Lucas numbers of theform 5kx2 and 7kx2. Bull.Korean Math. Soc.52 (2015),no. 5, 1467–1480.

MR3402210 Bród, Dorota On distance (r,k)-Fibonacci numbersand their combinatorial and graph interpretations. J. Appl. Math. 2015, Art. ID 879510, 6 pp.

MR3406186 Rossmann, Tobias Computing topological zeta functions ofgroups, algebras, and modules, II. J. Algebra 444 (2015), 567–605.

MR3406177 Mantilla-Soler, Guillermo On thearithmetic determination of the trace. J. Algebra 444 (2015), 272–283.

MR3406170 Böckle, Gebhard; Juschka, Ann-Kristin Irreducibility of versal deformationrings in the (p,p)-casefor 2-dimensional representations. J. Algebra 444 (2015), 81–123.

MR3418533 Scholze, Peter On torsion in the cohomology of locallysymmetric varieties. Ann. of Math. (2) 182 (2015), no. 3, 945–1066.

MR3405595 Andreatta, Fabrizio; Iovita, Adrian; Kim, Minhyong A p-adic nonabelian criterionfor good reduction of curves.Duke Math. J. 164 (2015), no. 13, 2597–2642.

MR3404674 Knightly, Andrew; Li, Charles Correction to Modular L-values of cubiclevel [MR3001804]. Pacific J. Math. 278 (2015), no. 1, 253–256.

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MR3400638 Ren, XiuMin; Ye, YangBo Resonance and rapid decay ofexponential sums of Fourier coefficients of a Maass form for GLm(Z). Sci. ChinaMath. 58 (2015), no. 10,2105–2124.

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MR3399888 Chenevier, Gaëtan; Renard, David Level one algebraic cusp forms ofclassical groups of small rank. Mem. Amer. Math. Soc. 237 (2015), no. 1121, v+122 pp. ISBN:978-1-4704-1094-0; 978-1-4704-2509-8

MR3399887 Bruggeman, R.; Lewis, J.; Zagier, D. Period functions for Maass wave formsand cohomology. Mem. Amer. Math. Soc. 237 (2015), no. 1118, xii+132 pp. ISBN:978-1-4704-1407-8; 978-1-4704-2503-6

MR3399807 Mahadeva Naika, M. S.; Suman, N. P.; Chandankumar, S. Schläfli-type mixed modular equationsof degrees 1, 3, n and 3n. Afr.Diaspora J. Math. 18(2015), no. 1, 55–76.

MR3393063 Kim, Dae San; Yang, Seung-Hwan A recursive formula for power momentsof 2-dimensional Kloosterman sums associated with general linear groups. Ital.J. Pure Appl. Math. No.34 (2015), 7–16.

MR3381872 Madritsch, Manfred G.; Ziegler, Volker An infinite family of multiplicativelyindependent bases of number systems in cyclotomic number fields. ActaSci. Math. (Szeged) 81(2015), no. 1-2, 33–44.

MR3380373 Thakur, Dinesh S. Encounters with Ramanujan'smathematics. Recent advances in mathematics, 181–186, Ramanujan Math. Soc. Lect. NotesSer., 21, Ramanujan Math. Soc., Mysore, 2015.

MR3380364 Baruah, Nayandeep Deka; Das, Kuwali Bipartitions with 4-cores and sextenaryquadratic forms. Recent advances in mathematics, 27–38, Ramanujan Math. Soc. Lect. NotesSer., 21, Ramanujan Math. Soc., Mysore, 2015.

MR3399274 Savin, Diana Some properties of Fibonacci numbers,Fibonacci octonions, and generalized Fibonacci-Lucas octonions. Adv.Difference Equ. 2015, 2015:298, 10 pp.

MR3399273 Tuglu, Naim; Kızılateş, Can; Kesim, Seyhun On the harmonic and hyperharmonicFibonacci numbers. Adv. Difference Equ. 2015, 2015:297, 12 pp.

MR3399256 Yang, Yongqiang; Li, Weiping One Diophantine inequality with integerand prime variables. J. Inequal. Appl.2015, 2015:293, 9 pp.

MR3398721 Papikian, Mihran; Wei, Fu-Tsun The Eisenstein ideal andJacquet-Langlands isogeny over function fields. Doc. Math. 20 (2015), 551–629.

MR3398713 Kret, Arno Combinatorics of the basic stratum ofsome simple Shimura varieties. Doc. Math. 20 (2015), 237–267.

MR3395828 Karikovas, Erikas Self-approximation of periodic Hurwitzzeta-functions. Nonlinear Anal. Model. Control 20 (2015), no. 4, 561–569.

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