A Pólya-Hilbert operator for automorphic \(L\)-functions

DOI10.1016/S0019-3577(01)80023-9zbMath1024.11033arXivmath/9903061MaRDI QIDQ1602598

Anton Deitmar

Publication date: 23 June 2002

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9903061

zbMATH Keywords

meromorphicityautomorphic \(L\)-functionPólya-Hilbert operator

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Spectral theory; eigenvalue problems on manifolds (58C40) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

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