The Quantum variance of the Modular Surface

DOI10.24033/asens.2406zbMath1455.11076arXiv1303.6972OpenAlexW3011410208MaRDI QIDQ5110341

Peng Zhao, Peter C. Sarnak

Publication date: 18 May 2020

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.6972

zbMATH Keywords

\(L\)-functionmodular surfacequantum variance

Mathematics Subject Classification ID

Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (5)

Quantum variance for dihedral Maass forms ⋮ Quantitative non-vanishing of central values of certain \(L\)-functions on \(\mathrm{GL}(2) \times \mathrm{GL}(3)\) ⋮ Moments and distribution of central \(L\)-values of quadratic twists of elliptic curves ⋮ Wide moments of L-functions. I: Twists by class group characters of imaginary quadratic fields ⋮ Small‐scale equidistribution of Hecke eigenforms at infinity

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