English

Convergence of multiple Dirichlet L-series

Number Theory 2024-09-26 v2

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.

Keywords

Cite

@article{arxiv.2309.04108,
  title  = {Convergence of multiple Dirichlet L-series},
  author = {Kohji Matsumoto and Dilip K. Sahoo},
  journal= {arXiv preprint arXiv:2309.04108},
  year   = {2024}
}
R2 v1 2026-06-28T12:15:53.807Z