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June 2007 On the Parity Conjecture for Multiple $L$-values of Conductor Four
Hirofumi TSUMURA
Tokyo J. Math. 30(1): 21-40 (June 2007). DOI: 10.3836/tjm/1184963645

Abstract

In this paper, we prove that the multiple $L$-value of conductor $4$ can be expressed in terms of lower depth multiple $L$-values under the condition on the parity of its depth and weight. This can be regarded as a character analogue of what is called the "parity result" for multiple zeta values which was proved by Zagier.

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Hirofumi TSUMURA. "On the Parity Conjecture for Multiple $L$-values of Conductor Four." Tokyo J. Math. 30 (1) 21 - 40, June 2007. https://doi.org/10.3836/tjm/1184963645

Information

Published: June 2007
First available in Project Euclid: 20 July 2007

zbMATH: 1207.11095
MathSciNet: MR2328053
Digital Object Identifier: 10.3836/tjm/1184963645

Rights: Copyright © 2007 Publication Committee for the Tokyo Journal of Mathematics

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Vol.30 • No. 1 • June 2007
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