HYPERGEOMETRY INSPIRED BY IRRATIONALITY QUESTIONS

IF 0.6 4区 数学 Q3 MATHEMATICS Kyushu Journal of Mathematics Pub Date : 2018-02-24 DOI:10.2206/kyushujm.73.189
C. Krattenthaler, W. Zudilin
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引用次数: 6

Abstract

We report new hypergeometric constructions of rational approximations to Catalan's constant, $\log2$, and $\pi^2$, their connection with already known ones, and underlying `permutation group' structures. Our principal arithmetic achievement is a new partial irrationality result for the values of Riemann's zeta function at odd integers.
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由无理性问题启发的超几何
我们报告了加泰罗尼亚常数$\log2$和$\pi^2$的有理逼近的新超几何结构,它们与已知的结构的联系,以及潜在的“置换群”结构。我们的主要算术成果是黎曼zeta函数在奇数处值的一个新的部分无理性结果。
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来源期刊
CiteScore
0.80
自引率
0.00%
发文量
10
审稿时长
>12 weeks
期刊介绍: The Kyushu Journal of Mathematics is an academic journal in mathematics, published by the Faculty of Mathematics at Kyushu University since 1941. It publishes selected research papers in pure and applied mathematics. One volume, published each year, consists of two issues, approximately 20 articles and 400 pages in total. More than 500 copies of the journal are distributed through exchange contracts between mathematical journals, and available at many universities, institutes and libraries around the world. The on-line version of the journal is published at "Jstage" (an aggregator for e-journals), where all the articles published by the journal since 1995 are accessible freely through the Internet.
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