scientific article; zbMATH DE number 558340

zbMath0882.11032MaRDI QIDQ4289761

Alexei Venkov, A. M. Nikitin

Publication date: 27 August 1995

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

surveyHecke algebrasRiemann surfacesbibliographymodular formsSelberg trace formulaSelberg zeta-functiondiscontinuous groupsRamanujan graphsspectral theory of automorphic functionsDeligne's theoremRamanujan-Petersson conjectureIhara zeta-functionanalogue of the Riemann hypothesisdistribution of primes in an arithmetic progressiondistribution of primitive closed geodesics in homology classes

Mathematics Subject Classification ID

Homotopy groups, general; sets of homotopy classes (55Q05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Other Dirichlet series and zeta functions (11M41) Holomorphic modular forms of integral weight (11F11) Automorphic forms, one variable (11F12) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (10)

The trace formula with respect to the Grover matrix of a graph ⋮ Scattering on univalent graphs from the \(L\)-function point of view ⋮ The limit theorem with respect to the matrices on non-backtracking paths of a graph ⋮ A lattice point problem on the regular tree ⋮ Selberg zeta functions over function fields ⋮ A discrete Lefschetz formula ⋮ Discrete logarithms in free groups ⋮ On arithmetic infinite graphs ⋮ A new proof of Bartholdi's theorem ⋮ The semicircle law for semiregular bipartite graphs

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