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On certain mean values of the double zeta-function

Part of: Zeta and $L$-functions: analytic theory

Published online by Cambridge University Press:  11 January 2016

Soichi Ikeda ,
Kaneaki Matsuoka  and
Yoshikazu Nagata
Soichi Ikeda
Affiliation:
Graduate School of Mathematics, Nagoya University, Furocho, Chikusaku, Nagoya 464-8602, Japan, m10004u@math.nagoya-u.ac.jp
Kaneaki Matsuoka
Affiliation:
Graduate School of Mathematics, Nagoya University, Furocho, Chikusaku Nagoya 464-8602, Japan, m10041v@math.nagoya-u.ac.jp
Yoshikazu Nagata
Affiliation:
Graduate School of Mathematics, Nagoya University, Furocho, Chikusaku Nagoya 464-8602, Japan, m10035y@math.nagoya-u.ac.jp
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Abstract

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In this article we discuss three types of mean values of the Euler double zeta-function. To get the results, we introduce three approximate formulas for this function.

MSC classification

Secondary: 11M32: Multiple Dirichlet series and zeta functions and multizeta values 11M06: $zeta (s)$ and $L(s, chi)$
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 217 , March 2015 , pp. 161 - 190
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2015

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