Spectra of Arithmetic Infinite Graphs and Their Application

DOI10.4036/IIS.2001.67zbMath1014.11037OpenAlexW2020946428MaRDI QIDQ2780953

Hirofumi Nagoshi

Publication date: 8 July 2003

Published in: Interdisciplinary Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4036/iis.2001.67

zbMATH Keywords

finite fieldregular treeprime geodesic theoremIhara-Selberg zeta functionfinite volume infinite graphprimitive hyperbolic conjugacy classesRamanujan diagrams

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Modular and automorphic functions (11F03) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Zeta and (L)-functions in characteristic (p) (11M38) Finite upper half-planes (11T60)

Related Items (1)

An explicit prime geodesic theorem for discrete tori and the hypergeometric functions

This page was built for publication: Spectra of Arithmetic Infinite Graphs and Their Application