On arithmetic infinite graphs

DOI10.3792/PJAA.76.22zbMath0990.11057OpenAlexW2043453840MaRDI QIDQ1570243

Hirofumi Nagoshi

Publication date: 20 August 2002

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.76.22

zbMATH Keywords

principal congruence subgroupsSelberg trace formulaSelberg zeta functionBruhat-Tits treegraph spectraRamanujan graphlimit distribution of eigenvaluesIhara-Selberg zeta functionRamanujan diagram

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (1)

Convergence of zeta functions of graphs

Cites Work

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• Ramanujan graphs
• Lattices in rank one Lie groups over local fields
• Natural bounded concentrators
• Zeta functions of finite graphs and coverings
• On Modular Functions in Characteristic p
• Ramanujan Diagrams
• The distribution of eigenvalues of arithmetic inænite graphs
• Répartition asymptotique des valeurs propres de l’opérateur de Hecke 𝑇_𝑝
• Selberg zeta functions over function fields

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