On the mean values of the Barnes multiple zeta function
Number Theory
2026-04-21 v2
Abstract
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.
Keywords
Cite
@article{arxiv.2502.09852,
title = {On the mean values of the Barnes multiple zeta function},
author = {Takashi Miyagawa and Hideki Murahara},
journal= {arXiv preprint arXiv:2502.09852},
year = {2026}
}
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19 pages