scientific article; zbMATH DE number 1210353

zbMath0910.11022MaRDI QIDQ4213369

Peter C. Sarnak

Publication date: 25 November 1998

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

zbMATH Keywords

\(L\)-functionsDedekind zeta functionRiemann hypothesisSelberg zeta functionRamanujan conjecturesprime geodesic theoremsSelberg's eigenvalue conjecture

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (1)

The prime geodesic theorem for \(\mathrm{PSL}2(\mathbb{Z}[i)\) and spectral exponential sums]

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