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A simple remark on Dirichlet series

Part of: Zeta and $L$-functions: analytic theory

Published online by Cambridge University Press:  09 April 2009

Winfried Kohnen
Winfried Kohnen
Affiliation:
Universität Heidelberg, Mathematisches Institut, INF 288, D-69120 Heidelberg, Germany e-mail: winfried@mathi.uni-heidelberg.de
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Abstract

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It is shown that a twist of a Dirichlet series by a Dirichlet character may lead to very different analytic properties.

MSC classification

Secondary: 11M06: $zeta (s)$ and $L(s, chi)$
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 74 , Issue 1 , February 2003 , pp. 1 - 4
Copyright
Copyright © Australian Mathematical Society 2003

References

[1]Maass, H., Siegel's modular forms and Dirichlet series, Lecture Notes in Math. 216 (Springer, Berlin, 1970).Google Scholar
[2]Ogg, A., Modular forms and Dirichlet series (Benjamin, Amsterdam, 1969).Google Scholar