Back to Search
Start Over
Zeta functions of Ramanujan graphs and modular forms
- Publication Year :
- 2019
-
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.<br />Comment: arXiv admin note: text overlap with arXiv:1905.03417
- Subjects :
- Mathematics - Algebraic Geometry
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1905.04297
- Document Type :
- Working Paper