Identities involving the coefficients of a class of Dirichlet series. IV
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- by Bruce C. Berndt PDF
- Trans. Amer. Math. Soc. 149 (1970), 179-185 Request permission
Abstract:
We consider a class of Dirichlet series satisfying a functional equation with gamma factors. We define a generalized Dirichlet series that is analogous to the generalized zeta-function of Riemann. An analytic continuation for these generalized series is derived, and a few simple properties are established. Secondly, we prove a theorem on the Abel summation of Dirichlet series that satisfy Hecke’s functional equation.References
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Additional Information
- © Copyright 1970 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 149 (1970), 179-185
- MSC: Primary 10.41; Secondary 30.00
- DOI: https://doi.org/10.1090/S0002-9947-1970-0260685-5
- MathSciNet review: 0260685