Spectral exponential sums on hyperbolic surfaces

DOI10.1007/S11139-022-00620-1OpenAlexW4288360051WikidataQ115602865 ScholiaQ115602865MaRDI QIDQ2689956

Ikuya Kaneko

Publication date: 14 March 2023

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.00681

zbMATH Keywords

Selberg zeta functionprime geodesic theoremspectral exponential sum

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)

Related Items (1)

The second moment for counting prime geodesics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Local average in hyperbolic lattice point counting, with an appendix by Niko Laaksonen
• Zeros, eigenvalues and arithmetic
• The cubic moment of central values of automorphic \(L\)-functions
• Formule de Poisson pour les variétés riemanniennes
• Quantum ergodicity of eigenfunctions on \(\text{PSL}_ 2(\mathbb{Z}) \backslash H^ 2\)
• Density theorems and the mean value of arithmetical functions in short intervals
• Euler products of Selberg zeta functions in the critical strip
• Prime geodesic theorem.
• The prime geodesic theorem
• Prime geodesics and averages of the Zagier L-series

This page was built for publication: Spectral exponential sums on hyperbolic surfaces