Ihara Zeta function, coefficients of Maclaurin series and Ramanujan graphs

DOI10.1142/S0129167X20500822zbMath1451.05139arXiv1905.13485OpenAlexW3041633583MaRDI QIDQ5130980

Hau-Wen Huang

Publication date: 31 October 2020

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.13485

zbMATH Keywords

Ihara zeta functionHasse-Weil boundRamanujan graphsLi's criterion

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Other Dirichlet series and zeta functions (11M41) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (1)

The limit theorem with respect to the matrices on non-backtracking paths of a graph

Cites Work

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• Ramanujan graphs
• The positivity of a sequence of numbers and the Riemann hypothesis
• On discrete subgroups of the two by two projective linear group over \(p\)-adic fields
• Center of the universal Askey-Wilson algebra at roots of unity
• Zeta and 𝐿-functions in Number Theory and Combinatorics
• A combinatorial proof of Bass's determinant formula for the zeta function of regular graphs
• Numbers of solutions of equations in finite fields

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