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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,已经连续报道有几年了,2013年1-9月的逐月统计结果已有报道,今天介绍MR数据库2013年10月份收录情况,新增题录10567条,其中数论研究324条,摘录其中部分列入以下(可能有些信息无法正确显示,可以浏览附件PDF文件),更多信息请浏览附件(由于附件太大,上传受限,作为文献上传后,同样可以免费下载浏览:MR2013年10月份数论最新文献题录(附件324条)
MR3082735 Khadir, Omar; Szalay, László
How can the product of two binary recurrences be constant?
Bol. Soc. Parana. Mat. (3) 32 (2014), no. 1, 285–289.
MR3082723 dos Santos, Clotilzio Moreira
Tsukamoto's theorem in characteristic two.
Bol. Soc. Parana. Mat. (3) 32 (2014), no. 1, 155–162.
MR3099796 Nesteruk, V. I.
On the Kolyvagin formula for elliptic curves with good
reductions over pseudolocal fields. Mat. Stud. 39 (2013), no. 1, 16–20.
MR3099609 Nazardonyavi, Sadegh; Yakubovich, Semyon
Another proof of Spira's inequality and its application to the Riemann hypothesis.
J. Math. Inequal. 7 (2013), no. 2, 167–174.
MR3099594 Kholyavka, Ya. M.
Simultaneous approximation of the elliptic moduli and values of
Jacobi elliptic functions. (Ukrainian) Mat. Stud. 39 (2013), no. 1, 10–15.
MR3087686 McKenzie, Thomas; Overbay, Shannon; Ray, Robert
G-sets and linear recurrences modulo primes.
Missouri J. Math. Sci.25 (2013), no. 1, 27–36.
MR3087684 Greene, John
On the limiting structure of some central binomial evaluations.
Missouri J. Math. Sci. 25 (2013), no. 1, 2–14.
MR3084978 Ohta, Masami
Eisenstein ideals and the rational torsion subgroups of modular Jacobian varieties.
J. Math. Soc. Japan 65 (2013), no. 3, 733–772.
MR3083185 Abel, Ulrich; Awan, Waqar; Kushnirevych, Vitaliy
A generalization of the gcd-sum function.
J. Integer Seq. 16 (2013), no. 6, Article 13.6.7, 12 pp.
MR3083184 Girstmair, Kurt
Dedekind sums with arguments near certain transcendental numbers.
J. Integer Seq. 16 (2013), no. 6, Article 13.6.6, 9 pp.
MR3083183 Zhang, Deyu; Zhai, Wenguang
On an open problem of Tóth.
J. Integer Seq. 16 (2013), no. 6, Article 13.6.5, 8 pp.
MR3083182 Farhi, Bakir
On the representation of the natural numbers as the sum of
three terms of the sequence
⌊n2a⌋.
⌊n2a⌋. J. Integer Seq.16 (2013), no. 6, Article 13.6.4, 6 pp.MR3083181 Bordellès, Olivier; Cloitre, Benoit
An alternating sum involving the reciprocal of certain multiplicative functions.
J. Integer Seq. 16 (2013), no. 6, Article 13.6.3, 12 pp.
MR3083180 Fox, Alyson; Knapp, Michael P.
A note on weakly complete sequences.
J. Integer Seq. 16 (2013), no. 6, Article 13.6.2, 14 pp.
MR3082753 Carl, M.; Moroz, B. Z.
A polynomial encoding provability in pure mathematics
(outline of an explicit construction). Bull. Belg. Math. Soc.
Simon Stevin 20 (2013), no. 1, 181–187.
MR3082752 Vindas, Jasson
Chebyshev upper estimates for Beurling's generalized prime numbers.
Bull. Belg. Math. Soc. Simon Stevin 20 (2013), no. 1, 175–180.
MR3082216 Tao, Terence
Noncommutative sets of small doubling.
European J. Combin. 34 (2013), no. 8, 1459–1465.
MR3082215 Solymosi, József
Roth-type theorems in finite groups.
European J. Combin. 34 (2013), no. 8, 1454–1458.
MR3082213 Rué, Juanjo
On polynomial representation functions for multivariate linear forms.
European J. Combin. 34 (2013), no. 8, 1429–1435.
MR3082212 Ordaz, Oscar; Plagne, Alain; Schmid, Wolfgang A.
Some remarks on barycentric-sum problems over cyclic groups.
European J. Combin. 34 (2013), no. 8, 1415–1428.
MR3082211 Matolcsi, Máté; Ruzsa, Imre Z.
Sets with no solutions to x+y=3z.
x+y=3z. European J. Combin. 34 (2013), no. 8, 1411–1414.MR3082208 Károlyi, Gyula; Paulin, Roland
On the exterior algebra method applied to restricted set addition.
European J. Combin. 34 (2013), no. 8, 1383–1389.
MR3082207 Hegyvári, Norbert; Hennecart, François
Conditional expanding bounds for two-variable functions over prime fields.
European J. Combin. 34 (2013), no. 8, 1365–1382.
MR3082206 Hamidoune, Yahya Ould; López, Susana-Clara; Plagne, Alain
Large restricted sumsets in general Abelian groups.
European J. Combin. 34 (2013), no. 8, 1348–1364.
MR3082205 Freiman, Gregory A.; Yudin, Alexander A.
On the measure of large values of the modulus of a trigonometric sum.
European J. Combin. 34 (2013), no. 8, 1338–1347.
MR3082204 Fan, Yushuang; Gao, Weidong; Wang, Linlin; Zhong, Qinghai
Two zero-sum invariants on finite abelian groups.
European J. Combin. 34 (2013), no. 8, 1331–1337.
MR3082202 Dias da Silva, J. A.; Freitas, Pedro J.
Counting spectral radii of matrices with positive entries.
European J. Combin. 34 (2013), no. 8, 1316–1325.
MR3082200 Cilleruelo, Javier; Nathanson, Melvyn B.
Dense sets of integers with prescribed representation functions.
European J. Combin. 34 (2013), no. 8, 1297–1306.
MR3082199 Breuillard, Emmanuel; Green, Ben
Contractions and expansion.
European J. Combin. 34 (2013), no. 8, 1293–1296.
MR3082197 Balandraud, éric; Girard, Benjamin; Griffiths, Simon; Hamidoune,
Yahya ould Subset sums in abelian groups.
European J. Combin. 34 (2013), no. 8, 1269–1286.
MR3082191 Deza, Michel; Ossona de Mendez, Patrice; Rosenstiehl, Pierre
Announcement from the editors. European J. Combin. 34 (2013), no. 8, vii.
MR3104534 Kyureghyan, Gohar; Müller, Peter; Wang, Qi
On the size of Kakeya sets in finite vector spaces. Electron. J. Combin. 20 (2013), no. 3, Paper 36, 10 pp.
MR3104528 Matomäki, Kaisa
On sumsets of multisets in Zmp.
Zmp. Electron. J. Combin. 20 (2013), no. 3, Paper 30, 10 pp.MR3099725 Ren, Gang Lian
Orthogonal sequences in Hilbert space and Kubert identities.
(Chinese) Math. Pract. Theory 43 (2013), no. 3, 243–248.
MR3082277 Coffey, Mark W.
Hypergeometric summation representations of the Stieltjes constants.
Analysis (Munich) 33 (2013), no. 2, 121–142.
MR3082249 Corvaja, Pietro; Zannier, Umberto
Greatest Common Divisors of u−1, v−1 in positive characteristic and
rational points on curves over finite fields.
u−1, v−1in positive characteristic and rational points on curves over finite fields
. J. Eur. Math. Soc. (JEMS) 15 (2013), no. 5, 1927–1942.
MR3082245 Blomer, Valentin
On the 4-norm of an automorphic form.
J. Eur. Math. Soc. (JEMS) 15 (2013), no. 5, 1825–1852.
MR3081780 Kalpokas, Justas; Korolev, Maxim A.; Steuding, Jörn
Negative values of the Riemann zeta function on the critical line.
Mathematika 59 (2013), no. 2, 443–462.
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