On zeta functions of arithmetically defined graphs
type: Item
instance of: scholarly article
title: On zeta functions of arithmetically defined graphs
zbMATH Open document ID: 0949.05036
author: Ortwin Scheja
published in: Finite Fields and their Applications
publication date: 2000-03-19T00:00:00Z
review text: Arithmetically defined graphs \(X(n)\), namely quotients of the Bruhat-Tits tree over a local field, are studied, using results from \textit{I. Rust} [Finite Fields Appl. 4, No. 4, 283-306 (1998; Zbl 0933.20033)]. Explicit formulae for the zeta function of \(X(n)\) for small \(n\) are given and, by employing techniques from \textit{K. Hashimoto} [Adv. Stud. Pure Math. 15, 211-280 (1989; Zbl 0709.22005)], new infinite families of Ramanujan graphs are constructed from \(X(n)\).
reviewed by: Brigitte Servatius
Mathematics Subject Classification ID: 05C25
Mathematics Subject Classification ID: 11M41
Mathematics Subject Classification ID: 14G10
zbMATH DE Number: 1398791
zbMATH Keywords: Bruhat-Tits tree
zbMATH Keywords: L-function
zbMATH Keywords: zeta function
zbMATH Keywords: Ramanujan graph
MaRDI profile type: Publication
full work available at URL: ffta.1999.0249
OpenAlex ID: W2062377189
DOI: 10.1006/FFTA.1999.0249
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description: scientific article; zbMATH DE number 1398791