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2001 On modification of the {$q$}-{$L$}-series and its applications
Hirofumi Tsumura
Nagoya Math. J. 164: 185-197 (2001).

Abstract

We slightly modify the definitions of $q$-Hurwitz $\zeta$-functions and $q$-$L$-series constructed by J. Satoh. By using these modified functions, we give some relations for the ordinary Dirichlet $L$-series. Especially we give an elementary proof of Katsurada's formula on the values of Dirichlet $L$-series at positive integers.

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Hirofumi Tsumura. "On modification of the {$q$}-{$L$}-series and its applications." Nagoya Math. J. 164 185 - 197, 2001.

Information

Published: 2001
First available in Project Euclid: 27 April 2005

zbMATH: 1025.11030
MathSciNet: MR1869100

Subjects:
Primary: 11M41
Secondary: 11B68

Rights: Copyright © 2001 Editorial Board, Nagoya Mathematical Journal

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Vol.164 • 2001
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