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arXiv · 2212.13687

Special values of spectral zeta functions of graphs and Dirichlet L-functions

Bing Xie·Yigeng Zhao·Yongqiang Zhao
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Abstract

In this paper, we establish relations between special values of Dirichlet $L$-functions and that of spectral zeta functions or $L$-functions of cycle graphs. In fact, they determine each other in a natural way. These two kinds of special values were bridged together by a combinatorial derivative formula obtained from studying spectral zeta functions of the first order self-adjoint differential operators on the unit circle.

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Bing Xie, Yigeng Zhao, Yongqiang Zhao. 2022-12-28. Special values of spectral zeta functions of graphs and Dirichlet L-functions. https://arxiv.org/abs/2212.13687

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