Special values of spectral zeta functions of graphs and Dirichlet L-functions
Number Theory
2023-07-13 v2
Abstract
In this paper, we establish relations between special values of Dirichlet -functions and that of spectral zeta functions or -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.
Keywords
Cite
@article{arxiv.2212.13687,
title = {Special values of spectral zeta functions of graphs and Dirichlet L-functions},
author = {Bing Xie and Yigeng Zhao and Yongqiang Zhao},
journal= {arXiv preprint arXiv:2212.13687},
year = {2023}
}
Comments
2nd version. Minor changes and references updated