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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The functional equation of some Dirichlet series


Author: Bruce C. Berndt
Journal: Proc. Amer. Math. Soc. 29 (1971), 457-460
MSC: Primary 10.41
MathSciNet review: 0276181
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Abstract: The functional equation for two classes of Dirichlet series is established. These Dirichlet series involve primitive characters and can be regarded as generalizations of Dirichlet's L-functions or of Epstein's zeta-functions. One class is also a generalization of some series studied by Stark.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1971-0276181-1
PII: S 0002-9939(1971)0276181-1
Keywords: Epstein zeta-function, Dirichlet L-function, primitive character, functional equation, quadratic form
Article copyright: © Copyright 1971 American Mathematical Society