On pairs of closed geodesics on hyperbolic surfaces

DOI10.5802/aif.1667zbMath0958.11039OpenAlexW2046786778MaRDI QIDQ1288629

Nigel J. E. Pitt

Publication date: 16 May 1999

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1999__49_1_1_0

zbMATH Keywords

trace formulaclosed geodesicshyperbolic surfacesPetersson inner producteigenfunctions of Laplacian

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) Riemann surfaces (30F99)

Related Items

A symplectic restriction problem ⋮ A sum formula for a pair of closed geodesics on a hyperbolic surface

Cites Work

• Selberg trace formulae, pseudodifferential operators, and geodesic periods of automorphic forms
• Quantum ergodicity of eigenfunctions on \(\text{PSL}_ 2(\mathbb{Z}) \backslash H^ 2\)
• Prime geodesic theorem.
• Class numbers of indefinite binary quadratic forms
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