A prime geodesic theorem of Gallagher type for Riemann surfaces

DOI10.1007/s10476-020-0013-2zbMath1463.11145OpenAlexW3006422341MaRDI QIDQ2300129

Muharem Avdispahić

Publication date: 26 February 2020

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-020-0013-2

zbMATH Keywords

hyperbolic manifoldSelberg zeta functionprime geodesic theorem

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) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (4)

Gallagherian PGT on some compact Riemannian manifolds of negative curvature ⋮ Gallagherian prime geodesic theorem in higher dimensions ⋮ Prime geodesic theorem for the modular surface ⋮ Effective bounds for Huber’s constant and Faltings’s delta function

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