Glasnik matematički, Vol. 55 No. 2, 2020.
Original scientific paper
https://doi.org/10.3336/gm.55.2.06
Dirichlet product and the multiple Dirichlet series over function fields
Yoshinori Hamahata
; Department of Applied Mathematics, Okayama University of Science, Ridai-cho 1-1, Okayama, 700-0005, Japan
Abstract
We define the Dirichlet product for multiple arithmetic functions over function fields and consider the ring of the multiple Dirichlet series over function fields. We apply our results to absolutely convergent multiple Dirichlet series and obtain some zero-free regions for them.
Keywords
Arithmetic function; Dirichlet product; Dirichlet series; zeta function; function field
Hrčak ID:
248666
URI
Publication date:
23.12.2020.
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