scientific article; zbMATH DE number 936567

zbMath0863.11062MaRDI QIDQ4896084

Fernando Chamizo

Publication date: 21 November 1996

Full work available at URL: https://eudml.org/doc/206922

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

spectral theoryRiemann surfaceFuchsian groupscompact manifoldslarge sieveHecke operatorsMaass cusp formspretrace formulalarge sieve inequalitysum of two squareshyperbolic circle problemspectral theory of automorphic forms

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Hecke-Petersson operators, differential operators (one variable) (11F25) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) Sieves (11N35) Riemann surfaces (30F99)

Related Items (13)

Bounds on shifted convolution sums for Hecke eigenforms ⋮ The hyperbolic lattice point problem in conjugacy classes ⋮ Equidistribution in shrinking sets and \(L^4\)-norm bounds for automorphic forms ⋮ Sums of squares in \(\mathbb{Z}[\sqrt k\)] ⋮ Ω-results for the hyperbolic lattice point problem ⋮ Sums of squares in real quadratic fields and Hilbert modular groups ⋮ LOCAL AVERAGE OF THE HYPERBOLIC CIRCLE PROBLEM FOR FUCHSIAN GROUPS ⋮ Local average in hyperbolic lattice point counting, with an appendix by Niko Laaksonen ⋮ Hyperbolic lattice-point counting and modular symbols ⋮ Almost periodic functions and hyperbolic counting ⋮ Hyperbolic lattice point problems ⋮ CM-points and lattice counting on arithmetic compact Riemann surfaces ⋮ Mean value results and \(\Omega\)-results for the hyperbolic lattice point problem in conjugacy classes

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