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December 2008 Double Lerch Value Relations and Functional Relations for Witten Zeta Functions
Takashi NAKAMURA
Tokyo J. Math. 31(2): 551-574 (December 2008). DOI: 10.3836/tjm/1233844070

Abstract

In this paper, we obtain functional relations for Witten zeta functions by using relations of double Lerch values. By these functional relations, we obtain new proofs of known results on the Tornheim double zeta values, the Euler-Zagier double zeta values, and their alternating and character analogues.

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Takashi NAKAMURA. "Double Lerch Value Relations and Functional Relations for Witten Zeta Functions." Tokyo J. Math. 31 (2) 551 - 574, December 2008. https://doi.org/10.3836/tjm/1233844070

Information

Published: December 2008
First available in Project Euclid: 5 February 2009

zbMATH: 1181.11056
MathSciNet: MR2477890
Digital Object Identifier: 10.3836/tjm/1233844070

Subjects:
Primary: 11M41

Rights: Copyright © 2008 Publication Committee for the Tokyo Journal of Mathematics

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Vol.31 • No. 2 • December 2008
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