Convergence of multiple Dirichlet L-series
Kohji Matsumoto, Dilip K. Sahoo
TL;DR
This paper investigates the convergence properties of multiple Dirichlet L-series, providing an integral representation within the convergence region and discussing a generalized convergence result.
Contribution
It introduces an integral representation for multiple Dirichlet L-series in the convergence region and extends the results to a generalized case.
Findings
Integral representation of the series in the convergence region
Extension to a generalized convergence result
Use of Abel's summation formula
Abstract
In this paper we study the convergence of multiple Dirichlet L-series. In particular we give an integral representation of the series in the region of convergence by using Abel's summation formula. A certain generalized result is also mentioned.
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Taxonomy
TopicsMeromorphic and Entire Functions · Advanced Mathematical Identities · Analytic Number Theory Research