Izvorni znanstveni članak

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

Sažetak

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.

Ključne riječi

Arithmetic function; Dirichlet product; Dirichlet series; zeta function; function field

Hrčak ID:

248666

URI

https://hrcak.srce.hr/248666

Datum izdavanja:

23.12.2020.

Posjeta: 1.103 *