English

The multiple Dirichlet product and the multiple Dirichlet series

Number Theory 2016-01-25 v1

Abstract

First, we define the multiple Dirichlet product and study the properties of it. From those properties, we obtain a zero-free region of a multiple Dirichlet series and a multiple Dirichlet series expression of the reciprocal of a multiple Dirichlet series.

Keywords

Cite

@article{arxiv.1601.05924,
  title  = {The multiple Dirichlet product and the multiple Dirichlet series},
  author = {Tomokazu Onozuka},
  journal= {arXiv preprint arXiv:1601.05924},
  year   = {2016}
}

Comments

15 pages

R2 v1 2026-06-22T12:34:42.845Z