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September 2016 Mean square formula for the double zeta-function
Isao Kiuchi, Makoto Minamide
Funct. Approx. Comment. Math. 55(1): 31-43 (September 2016). DOI: 10.7169/facm/2016.55.1.3

Abstract

We prove the mean square formula of the Euler--Zagier type double zeta-function $\zeta_{2}(s_{1},s_{2})$ and provide an improvement on the $\Omega$ results of Kiuchi, Tanigawa, and Zhai. We also calculate the double integral $\int_{2}^{N}\int_{2}^{T}|\zeta_{2}(s_{1},s_{2})|^{2}dt_{1} dt_{2}$ under certain conditions.

Citation

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Isao Kiuchi. Makoto Minamide. "Mean square formula for the double zeta-function." Funct. Approx. Comment. Math. 55 (1) 31 - 43, September 2016. https://doi.org/10.7169/facm/2016.55.1.3

Information

Published: September 2016
First available in Project Euclid: 19 September 2016

zbMATH: 06862551
MathSciNet: MR3549011
Digital Object Identifier: 10.7169/facm/2016.55.1.3

Subjects:
Primary: 11M41
Secondary: 11M06

Rights: Copyright © 2016 Adam Mickiewicz University

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Vol.55 • No. 1 • September 2016
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