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On modification of the q-L-series and its applications

Published online by Cambridge University Press:  22 January 2016

Hirofumi Tsumura
Hirofumi Tsumura*
Affiliation:
Department of Management, Tokyo Metropolitan College, Azuma-cho, Akishima-shi, Tokyo 196-8540, Japan, tsumura@tmca.ac.jp
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Abstract

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We slightly modify the definitions of q-Hurwitz ζ-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.

Keywords

11M4111M06.11B6811M0611M3533B15
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 164 , December 2001 , pp. 185 - 197
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2001

References

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