On zeta functions of arithmetically defined graphs

DOI10.1006/ffta.1999.0249zbMath0949.05036OpenAlexW2062377189MaRDI QIDQ1964069

Ortwin Scheja

Publication date: 19 March 2000

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/ffta.1999.0249

zbMATH Keywords

zeta functionBruhat-Tits treeL-functionRamanujan graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Other Dirichlet series and zeta functions (11M41) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10)

Related Items (5)

Tree-lattice zeta functions and class numbers ⋮ Bartholdi zeta and \(L\)-functions of weighted digraphs, their coverings and products ⋮ Ihara Zeta Functions of Infinite Weighted Graphs ⋮ Arithmetically defined representations of groups of type \(\text{SL}(2,\mathbb{F}_q)\) ⋮ A generalized Ihara zeta function formula for simple graphs with bounded degree

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