On the mean values of the Barnes multiple zeta function

Fuente: arXiv
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Autores principales: Miyagawa, Takashi, Murahara, Hideki
Formato: Preprint
Publicado: 2025
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author Miyagawa, Takashi
Murahara, Hideki
author_facet Miyagawa, Takashi
Murahara, Hideki
contents The asymptotic behavior of the mean values of multiple zeta functions is of significant interest due to its close connection with the Riemann zeta function. In this paper, we establish asymptotic behavior of the mean square values of Barnes multiple zeta functions.
format Preprint
id arxiv_https___arxiv_org_abs_2502_09852
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On the mean values of the Barnes multiple zeta function
Miyagawa, Takashi
Murahara, Hideki
Number Theory
11M32
The asymptotic behavior of the mean values of multiple zeta functions is of significant interest due to its close connection with the Riemann zeta function. In this paper, we establish asymptotic behavior of the mean square values of Barnes multiple zeta functions.
title On the mean values of the Barnes multiple zeta function
topic Number Theory
11M32
url https://arxiv.org/abs/2502.09852