The multiple Dirichlet product and the multiple Dirichlet series

Preprint English OPEN
Onozuka, Tomokazu (2016)
  • Subject: 11M32, 11A25 | Mathematics - Number Theory
    arxiv: Mathematics::Spectral Theory | Mathematics::Analysis of PDEs

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.
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