Open Access
December 2017 The mean values of the double zeta-function
Soichi Ikeda, Isao Kiuchi, Kaneaki Matsuoka
Tsukuba J. Math. 41(2): 169-187 (December 2017). DOI: 10.21099/tkbjm/1521597621

Abstract

We investigate the mean square formulas of the Euler–Zagier type double zeta-function $\zeta_2(s_1,s_2)$ and provide the $\Omega$ results of the double zeta-function. We also calculate the double integral under certain conditions.

Citation

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Soichi Ikeda. Isao Kiuchi. Kaneaki Matsuoka. "The mean values of the double zeta-function." Tsukuba J. Math. 41 (2) 169 - 187, December 2017. https://doi.org/10.21099/tkbjm/1521597621

Information

Received: 15 May 2015; Revised: 13 July 2017; Published: December 2017
First available in Project Euclid: 21 March 2018

zbMATH: 06857020
MathSciNet: MR3778311
Digital Object Identifier: 10.21099/tkbjm/1521597621

Subjects:
Primary: 11M06 , 11M41

Keywords: double zeta-functions , mean square formula , Riemann zeta-function

Rights: Copyright © 2017 University of Tsukuba, Institute of Mathematics

Vol.41 • No. 2 • December 2017
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