Zeta functions of Ramanujan graphs and modular forms
Algebraic Geometry
2019-05-14 v1
Abstract
We will investigate the relationship between Ihara's zeta functions of Ramanujan graphs and Hasse-Weil's congruent zeta functions of modular curves. As an application we will describe the limit value of Hasse-Weil's congruent zeta functions in terms of the corresponding Ramanujan graphs. Moreover we will show a congruence relation of the Fourier coefficients of a normalized Hecke eigenform of weight 2.
Cite
@article{arxiv.1905.04297,
title = {Zeta functions of Ramanujan graphs and modular forms},
author = {Kennichi Sugiyama},
journal= {arXiv preprint arXiv:1905.04297},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1905.03417