L functions in scattering on p-adic multiloop surfaces

DOI10.1063/1.531315zbMath0883.11023arXivhep-th/9404048OpenAlexW2019489324MaRDI QIDQ4837361

Leonid O. Chekhov

Publication date: 16 September 1995

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9404048

zbMATH Keywords

\(L\)-functionsLaplacianscattering processesinfinite graphsspaces of constant negative curvature\(p\)-adic multiloop surfacesanalog of Selberg trace formula

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Other Dirichlet series and zeta functions (11M41) Quantum scattering theory (81U99) Graph theory (05C99) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Zeta functions and (L)-functions (11S40)

Related Items (3)

Scattering on univalent graphs from the \(L\)-function point of view ⋮ Adelic integrable systems ⋮ THE PRIME GEODESIC THEOREM AND QUANTUM MECHANICS ON FINITE VOLUME GRAPHS: A REVIEW

Cites Work

• The Selberg trace formula and the Riemann zeta-function
• Multiloop calculations in p-adic string theory and Bruhat-Tits trees
• On discrete subgroups of the two by two projective linear group over \(p\)-adic fields
• ON ZETA AND L-FUNCTIONS OF FINITE GRAPHS
• A hierarchic array of integrable models

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