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[转载]MR2012年12月份数论最新文献题录136条
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美国《数学评论》数据库（MRDB,http://www.ams.org/home/page）题录数论研究文献，先后已经有几篇博文进行过报道：如2012年
4月份MRDB题录数论最新文献246篇，http://blog.sciencenet.cn/blog-212210-568217.html；
5月份MRDB题录数论最新研究文献311篇，http://blog.sciencenet.cn/blog-212210-577496.html；
6月份MRDB题录数学文献15957篇，其中题录数论最新文献234篇，http://blog.sciencenet.cn/blog-212210-588048.html
更多信息请浏览附件June 2012-Number theory.pdf；
7月份MRDB题录数学文献9066篇，其中题录数论最新文献273篇；http://blog.sciencenet.cn/blog-212210-598187.html;
8月份MRDB题录数学文献10720篇，其中题录数论最新文献333篇，http://blog.sciencenet.cn/blog-212210-608354.html
9月份MRDB题录数学文献9161篇，其中题录数论最新文献174篇；
10月份MRDB题录数学文献10354篇，其中题录数论最新文献194篇, http://blog.sciencenet.cn/blog-212210-628575.html;
12月份MRDB题录数学文献6549篇，其中题录数论最新文献136篇
下面列出部分题录结果，更多信息请浏览附件。
MR2977413 Deitmar, Anton Automorphic forms. Translated from the 2010 German original. Universitext. Springer, London, 2013. x+252 pp. ISBN: 978-1-4471-4434-2; 978-1-4471-4435-9
MR2977354 Ebeling, Wolfgang Lattices and codes. A course partially based on lectures by Friedrich Hirzebruch. Third edition. Advanced Lectures in Mathematics. Springer Spektrum, Wiesbaden, 2013. xvi+167 pp. ISBN: 978-3-658-00359-3; 978-3-658-00360-9
MR2978005 Achimescu, S.; Alexandru, V.; Popescu, N.; Vajaitu, M.; Zaharescu, A. The behavior of rigid analytic functions around orbits of elements of C p . Rend. Semin. Mat. Univ. Padova 127 (2012), 193–211. ISBN: 978-88-7784-337-1
MR2977997 Seveso, Marco Adamo The arithmetic theory of local constants for abelian varieties. Rend. Semin. Mat. Univ. Padova 127 (2012), 17–39. ISBN: 978-88-7784-337-1
MR2977911 Blondeau-Fournier, Olivier; Mathieu, Pierre; Welsh, Trevor A. Half-lattice paths and Virasoro characters. Fund. Inform. 117 (2012), no. 1-4, 57–83.
MR2977641 Rim, Seog-Hoon; Jeong, Joohee A note on the q -Euler numbers and polynomials with weight (α,w) . Honam Math. J. 34 (2012), no. 2, 183–190.
MR2975825 Wang, Weiping; Liu, Hongmei Some identities from the q -binomial transform. Util. Math. 88 (2012), 91–106.
MR2954465 Baker, Alan A comprehensive course in number theory. Cambridge University Press, Cambridge, 2012. xvi+251 pp. ISBN: 978-1-107-60379-0
MR2961298 Miernowski, Tomasz; Nogueira, Arnaldo Absorbing sets of homogeneous subtractive algorithms. Monatsh. Math. 167 (2012), no. 3-4, 547–569.
MR2961296 Loridant, Benoît Crystallographic number systems. Monatsh. Math. 167 (2012), no. 3-4, 511–529.
MR2961294 Le Boudec, Pierre Manin's conjecture for a quartic del Pezzo surface with A 3 singularity and four lines. Monatsh. Math. 167 (2012), no. 3-4, 481–502.
MR2961288 Barreira, Luis; Valls, Claudia Frequencies of digits under trigonometric perturbations. Monatsh. Math. 167 (2012), no. 3-4, 357–374.
MR2957755 Mateus, P.; Vieira, V. R. Reducing factorization of a semiprime number to the integration of highly oscillatory functions. Appl. Math. Lett. 25 (2012), no. 11, 1790–1794.
MR2957692 Jannsen, Uwe; Saito, Shuji Bertini theorems and Lefschetz pencils over discrete valuation rings, with applications to higher class field theory. J. Algebraic Geom. 21 (2012), no. 4, 683–705.
MR2956866 Labrande, Hugo; Jacobson, Michael J., Jr. Sublinear scalar multiplication on hyperelliptic Koblitz curves. Selected areas in cryptography, 399–411, Lecture Notes in Comput. Sci., 7118, Springer, Heidelberg, 2012.
MR2993756 Zagier, D. Evaluation of the multiple zeta values ζ(2,…,2,3,2,…,2) . Ann. of Math. (2) 175 (2012), no. 2, 977–1000.
MR2977784 Hassani, Mehdi On a function associated with the generalized Euler constant for an arithmetic progression. J. Math. Inequal. 6 (2012), no. 2, 249–252.
MR2977610 Philippon, Patrice A Farey tail. Notices Amer. Math. Soc. 59 (2012), no. 6, 746–757.
MR2976954 Szyjewski, Marek A note on the kernel of the norm map. Contributions to algebraic geometry, 481–487, EMS Ser. Congr. Rep., Eur. Math. Soc., Zürich, 2012.
MR2957346 Heigl, Florian; Heuberger, Clemens Analysis of digital expansions of minimal weight. 23rd Intern. Meeting on Probabilistic, Combinatorial, and Asymptotic Methods for the Analysis of Algorithms (AofA'12), 399–411, Discrete Math. Theor. Comput. Sci. Proc., AQ, Assoc. Discrete Math. Theor. Comput. Sci., Nancy, 2012.
MR2976135 Arunraj, B. On triples of pentagonal numbers. Int. J. Math. Sci. Eng. Appl. 6 (2012), no. 2, 269–274.
MR2976133 Arunraj, B. On rep-digit polygonal numbers. Int. J. Math. Sci. Eng. Appl. 6 (2012), no. 2, 245–252.
MR2976105 Kwon, DoYong The orbit of a β -transformation cannot lie in a small interval. J. Korean Math. Soc. 49 (2012), no. 4, 867–879.
MR2959026 Sorensen, Claus M. Divisible motives and Tate's conjecture. Int. Math. Res. Not. IMRN 2012, no. 16, 3763–3778.
MR2959023 Rudnev, Misha An improved sum-product inequality in fields of prime order. Int. Math. Res. Not. IMRN 2012, no. 16, 3693–3705.
MR2956430 Brown, Ezra; Chamberland, Marc Generalizing Gauss's gem. Amer. Math. Monthly 119 (2012), no. 7, 597–601.
MR2956428 Borwein, Peter; Hobart, Joe The extraordinary power of division in straight line programs. Amer. Math. Monthly 119 (2012), no. 7, 584–592.
MR2956427 Lemmermeyer, F. Parametrization of algebraic curves from a number theorist's point of view. Amer. Math. Monthly 119 (2012), no. 7, 573–583.
MR2977587 Wang, Ting Ting Infinite sums of reciprocal Fibonacci numbers. (Chinese) Acta Math. Sinica (Chin. Ser.) 55 (2012), no. 3, 517–524.
MR2977584 Yang, Shi Chun; Wu, Wen Quan; Liao, Qun Ying Preimage distribution of some perfect nonlinear functions. (Chinese) Acta Math. Sinica (Chin. Ser.) 55 (2012), no. 3, 481–488.
MR2977582 Zhao, Yong Zhe; Zhao, Bo; Pei, Shi Hui Properties of the ergodic matrix over a finite field. (Chinese) Acta Math. Sinica (Chin. Ser.) 55 (2012), no. 3, 457–468.
MR2977524 Čerin, Zvonko Pencils of Euler triples, I. Sarajevo J. Math. 8(20) (2012), no. 1, 15–31.
MR2977359 Sivatski, A. S. Applications of conics to quadratic forms over the rational function fields. J. Ramanujan Math. Soc. 27 (2012), no. 2, 241–254.
MR2977357 Getz, Jayce R. An approach to nonsolvable base change and descent. J. Ramanujan Math. Soc. 27 (2012), no. 2, 143–211.
MR2977355 Lee, Jung-Jo Ranks of Jacobians of curves related to binary forms. J. Ramanujan Math. Soc. 27 (2012), no. 2, 119–126.
MR2960236 Lee, Min Ho Quasimodular forms and cohomology. Bull. Aust. Math. Soc. 86 (2012), no. 1, 150–163.
MR2959944 Fujita, Takahiko; Yano, Yuko Special values of the Hurwitz zeta function via generalized Cauchy variables. Kyoto J. Math. 52 (2012), no. 3, 465–477.
MR2959928 Mason, A. W.; Schweizer, Andreas The cusp amplitudes and quasi-level of a congruence subgroup of SL 2 over any Dedekind domain. Proc. Lond. Math. Soc. (3) 105 (2012), no. 2, 311–341.
MR2959927 Strömberg, Fredrik Newforms and spectral multiplicity for Γ 0 (9) . Proc. Lond. Math. Soc. (3) 105 (2012), no. 2, 281–310.
MR2959924 Yu, Chia-Fu On Hermitian forms over dyadic non-maximal local orders. Pure Appl. Math. Q. 8 (2012), no. 4, 1117–1146.
MR2959847 Niederreiter, Harald; Shahverdian, Ashot Yu. Discrepancy estimates for rotation sequences and oscillation sequences. Asian-Eur. J. Math. 5 (2012), no. 2, 1250020, 12 pp.
MR2959673 Chen, Imin; Lee, Yoonjin Coefficients of exponential functions attached to Drinfeld modules of rank 2. Manuscripta Math. 139 (2012), no. 1-2, 123–136.
MR2959671 Dieulefait, Luis Remarks on Serre's modularity conjecture. Manuscripta Math. 139 (2012), no. 1-2, 71–89.
MR2959670 Schoof, René Semistable abelian varieties with good reduction outside 15. Manuscripta Math. 139 (2012), no. 1-2, 49–70.
MR2957642 Fukshansky, Lenny; Henshaw, Glenn; Liao, Philip; Prince, Matthew; Sun, Xun; Whitehead, Samuel On integral well-rounded lattices in the plane. Discrete Comput. Geom. 48 (2012), no. 3, 735–748.
MR2957450 Hu, Liqin; Yue, Qin; Wang, Minhong The linear complexity of Whiteman's generalized cyclotomic sequences of period p m+1 q n+1 . IEEE Trans. Inform. Theory 58 (2012), no. 8, 5534–5543.
MR2955592 Soydan, Gökhan; Ulas, Maciej; Zhu, Hui Lin On the Diophantine equation x 2 +2 a ⋅19 b =y n . Indian J. Pure Appl. Math. 43 (2012), no. 3, 251–261.
MR2950516 Hassani, Mehdi On an inequality of Ramanujan concerning the prime counting function. Ramanujan J. 28 (2012), no. 3, 435–442.
MR2950515 Luca, Florian On the largest prime factor of the partition function of n . Ramanujan J. 28 (2012), no. 3, 423–434.
MR2950514 Tanaka, Hidekazu Stirling modular forms and special values of multiple cotangent functions. Ramanujan J. 28 (2012), no. 3, 409–422.
MR2950513 Baruah, Nayandeep Deka; Ojah, Kanan Kumari Analogues of Ramanujan's partition identities and congruences arising from his theta functions and modular equations. Ramanujan J. 28 (2012), no. 3, 385–407.
MR2950512 Joyner, Sheldon T. On an algebraic version of the Knizhnik-Zamolodchikov equation. Ramanujan J. 28 (2012), no. 3, 361–384.
MR2950511 Koo, Ja Kyung; Shin, Dong Hwa; Yoon, Dong Sung Ray class fields generated by torsion points of certain elliptic curves. Ramanujan J. 28 (2012), no. 3, 341–360.
MR2950510 Grynkiewicz, David J.; Marchan, Luz Elimar; Ordaz, Oscar A weighted generalization of two theorems of Gao. Ramanujan J. 28 (2012), no. 3, 323–340.
MR2950509 Liu, Zhixin; Sun, Qingfeng Sums of cubes of primes in short intervals. Ramanujan J. 28 (2012), no. 3, 309–321.
MR2977069 Lozano-Robledo, álvaro From Fermat, Lamé and Kummer to Iwasawa: an introduction to Iwasawa theory. (Spanish) Gac. R. Soc. Mat. Esp. 15 (2012), no. 2, 251–276.
MR2976468 Gauthier, Claude Diophantine solutions to systems to two linear functions made powers or exponentials. JP J. Algebra Number Theory Appl. 25 (2012), no. 1, 91–97.
MR2975755 Kim, Shin-Wook; Park, Hwasin; Kim, Min-Hee Rank of elliptic curve y 2 =x 3 +px with p≡7(mod16) . Far East J. Math. Sci. (FJMS) 64 (2012), no. 2, 307–316.
MR2975747 Ryoo, C. S. On the q -Euler numbers and polynomials with weight (α,β) . Far East J. Math. Sci. (FJMS) 64 (2012), no. 2, 205–211.
MR2975746 Caro-Lopera, Francisco J. A family of formulae for pi. Far East J. Math. Sci. (FJMS) 64 (2012), no. 2, 157–181.
MR2959422 El Fadil, Lhoussain; Montes, Jesús; Nart, Enric Newton polygons and p -integral bases of quartic number fields. J. Algebra Appl. 11 (2012), no. 4, 1250073, 33 pp.
MR2959306 Kowalski, E.; Nikeghbali, A. Mod-Gaussian convergence and the value distribution of ζ(1 2 +it) and related quantities. J. Lond. Math. Soc. (2) 86 (2012), no. 1, 291–319.
MR2959298 Moshchevitin, N. G. Proof of W. M. Schmidt's conjecture concerning successive minima of a lattice. J. Lond. Math. Soc. (2) 86 (2012), no. 1, 129–151.
MR2959004 Gulliver, T. Aaron Sums of powers of integers divisible by three. Int. J. Contemp. Math. Sci. 7 (2012), no. 37-40, 1895–1901.
MR2957970 Freiman, G. A.; Grynkiewicz, D.; Serra, O.; Stanchescu, Y. V. Inverse additive problems for Minkowski sumsets I. Collect. Math. 63 (2012), no. 3, 261–286.
MR2957485 Fujita, Yasutsugu; Terai, Nobuhiro On the rank of the elliptic curve y 2 =x 3 −nx . Int. J. Algebra 6 (2012), no. 17-20, 885–901.
MR2957468 Lampret, Vito Estimating π easily and accurately. Int. J. Math. Anal. (Ruse) 6 (2012), no. 45-48, 2335–2344.
MR2954663 Bordellès, Olivier An asymptotic formula for short sums of gcd-sum functions. J. Integer Seq. 15 (2012), no. 6, Art. 12.6.8, 5 pp.
MR2954661 Pan, Jiaqiang Matrix decomposition of the unified generalized Stirling numbers and inversion of the generalized factorial matrices. J. Integer Seq. 15 (2012), no. 6, Art. 12.6.6, 9 pp.
MR2954659 Marques, Diego; Trojovsky, Pavel On divisibility of Fibonomial coefficients by 3. J. Integer Seq. 15 (2012), no. 6, Art. 12.6.4, 10 pp.
MR2954658 Sprugnoli, Renzo Alternating weighted sums of inverses of binomial coefficients. J. Integer Seq. 15 (2012), no. 6, Art. 12.6.3, 12 pp.
MR2954656 Pandey, Ram Krishna On lower order extremal integral sets avoiding prime pairwise sums. J. Integer Seq. 15 (2012), no. 6, Art. 12.6.1, 7 pp.
MR2950704 Viguié, Stéphane Invariants and coinvariants of semilocal units modulo elliptic units. J. Théor. Nombres Bordeaux 24 (2012), no. 2, 487–504.
MR2950703 Sutherland, Andrew V. A local-global principle for rational isogenies of prime degree. J. Théor. Nombres Bordeaux 24 (2012), no. 2, 475–485.
MR2950701 Nguyen, Ngoc Dong Quan The arithmetic of certain del Pezzo surfaces and K3 surfaces. J. Théor. Nombres Bordeaux 24 (2012), no. 2, 447–460.
MR2950700 McGown, Kevin J. Norm-Euclidean Galois fields and the Generalized Riemann Hypothesis. J. Théor. Nombres Bordeaux 24 (2012), no. 2, 425–445.
MR2950699 Linowitz, Benjamin; Shemanske, Thomas R. Embedding orders into central simple algebras. J. Théor. Nombres Bordeaux 24 (2012), no. 2, 405–424.
MR2950698 Lei, Antonio; Zerbes, Sarah Livia Signed Selmer groups over p -adic Lie extensions. J. Théor. Nombres Bordeaux 24 (2012), no. 2, 377–403.
MR2950697 Lavallee, Melisa J.; Spearman, Blair K.; Yang, Qiduan PSL(2,7) septimic fields with a power basis. J. Théor. Nombres Bordeaux 24 (2012), no. 2, 369–375.
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