The functional equation of some dirichlet series

Bruce C. Berndt

Research output: Contribution to journalArticlepeer-review

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 Lfunctions or of Epstein’s zeta-functions. One class is also a generalization of some series studied by Stark.

Original languageEnglish (US)
Pages (from-to)457-460
Number of pages4
JournalProceedings of the American Mathematical Society
Volume29
Issue number3
DOIs
StatePublished - Aug 1971
Externally publishedYes

Keywords

  • Dirichlet L-function
  • Epstein zeta-f unction
  • Functional equation
  • Primitive character
  • Quadratic form

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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