A note on a divergent series related to the Riemann Zeta function

被引：0

作者：

Gorostiza, LG ^{[1
]}

机构：

[1] Ctr Invest & Estudios Avanzados, Mexico City 07000, DF, Mexico

来源：

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2002年 / 8卷 / 02期

关键词：

approximation of divergent series; Riemann's zeta function; ultrametric group; hierarchical random walk;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An approximation for a class of divergent series in given. A special case is the series Sigman(-s), 0 < s less than or equal to 1, related to the Riemann Zeta function. The approximation is also related the behavior of random walks on an ultrametric group.

引用

页码：149 / 154

页数：6

共 35 条

[31] A NOTE ON THE HIGHER DERIVATIVES OF THE FUNCTION 1/(exp(x) - 1)
Boyadzhiev, Khristo N.
ADVANCES AND APPLICATIONS IN DISCRETE MATHEMATICS, 2016, 17 (04): : 461 - 466
[32] Special values of the spectral zeta function of the non-commutative harmonic oscillator and confluent Heun equations
Ichinose, T
Wakayama, M
KYUSHU JOURNAL OF MATHEMATICS, 2005, 59 (01) : 39 - 100
[33] Une note sur la densite des zeros des sommes partielles de la fonction zeta de Dedekind sur un corps quadratique
Dubon, Eric
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2022, 65 (02): : 409 - 415
[34] Double Series Identities Arising from Jacobi's Identity of the Theta Function
Tsumura, Hirofumi
RESULTS IN MATHEMATICS, 2018, 73 (01)
[35] Double Series Identities Arising from Jacobi’s Identity of the Theta Function
Hirofumi Tsumura
Results in Mathematics, 2018, 73

← 1 2 3 4 →