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arXiv · 2502.09852

On the mean values of the Barnes multiple zeta function

Takashi Miyagawa·Hideki Murahara
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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.

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Takashi Miyagawa, Hideki Murahara. 2026-04-19. On the mean values of the Barnes multiple zeta function. https://arxiv.org/abs/2502.09852

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