The theory of zeta functions of several complex variables. I
type: Item
instance of: scholarly article
title: The theory of zeta functions of several complex variables. I
zbMATH Open document ID: 0549.12007
DOI: 10.1016/0022-314X(84)90099-4
author: Larry Joel Goldstein
author: Michael J. Razar
published in: Journal of Number Theory
publication date: 1984-01-01T00:00:00Z
review text: There is a general result on the values of a Dirichlet series at negative integers [see e.g. \textit{D. Zagier}, Astérisque 41-42, 135-151 (1977; Zbl 0359.12012, p. 142]. In the present paper that result is extended to Dirichlet series in several variables and applied to Shintani's generalized Hurwitz zeta-function.
Mathematics Subject Classification ID: 11R42
Mathematics Subject Classification ID: 11M35
zbMATH DE Number: 3875415
zbMATH Keywords: Mellin transform
zbMATH Keywords: analytic continuation
zbMATH Keywords: values at negative integers
zbMATH Keywords: Dirichlet series in several variables
zbMATH Keywords: Shintani's generalized Hurwitz zeta-function
reviewed by: J. G. M. Mars
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3875415