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The mean values of Dirichlet L-functions at integer points and class numbers of cyclotomic fields

Published online by Cambridge University Press:  22 January 2016

Masanori Katsurada  and
Kohji Matsumoto
Masanori Katsurada
Affiliation:
Department of Mathematics, Faculty of Science, Kagoshima University, Korimoto Kagoshima 890, Japan
Kohji Matsumoto
Affiliation:
Department of Mathematics, Faculty of Education, Iwate University, Ueda, Morioka 020, Japan
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Let q be a positive integer, and L(s, χ) the Dirichlet L-function corresponding to a Dirichlet character χ mod q. We put

where χ runs over all Dirichlet characters mod q except for the principal character χ0.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 134 , June 1994 , pp. 151 - 172
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1994

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