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Nagoya Mathematical Journal (1)

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On modification of the q-L-series and its applications
Hirofumi Tsumura
Journal:

Nagoya Mathematical Journal / Volume 164 / December 2001

Published online by Cambridge University Press:

22 January 2016, pp. 185-197

Print publication:

December 2001
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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.