Bounding the sup-norm of automorphic forms

DOI10.1007/s00039-004-0491-6zbMath1078.11027OpenAlexW2069281671MaRDI QIDQ1774014

Jürg Kramer, Jay A. Jorgenson

Publication date: 29 April 2005

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00039-004-0491-6

zbMATH Keywords

automorphic formFuchsian group of the first kind

Mathematics Subject Classification ID

Automorphic forms, one variable (11F12)

Related Items (18)

Uniform Sup-Norm Bounds on Average for Cusp Forms of Higher Weights ⋮ An omega result for supremum norms of Hecke-eigenforms in the level aspect ⋮ Bounding sup-norms of cusp forms of large level ⋮ Bounds on Faltings's delta function through covers ⋮ Bounds on sup-norms of half-integral weight modular forms ⋮ On sup-norms of cusp forms of powerful level ⋮ Estimates of cusp forms for certain cocompact arithmetic subgroups ⋮ Quotient of Bergman kernels on punctured Riemann surfaces ⋮ An effective Arakelov-theoretic version of the hyperbolic isogeny theorem ⋮ Bergman kernels on punctured Riemann surfaces ⋮ Effective bounds for Faltings's delta function ⋮ Hybrid sup-norm bounds for Hecke-Maass cusp forms ⋮ Estimates of automorphic cusp forms over quaternion algebras ⋮ Heat kernel approach for sup-norm bounds for cusp forms of integral and half-integral weight ⋮ Global automorphic Sobolev theory and the automorphic heat kernel ⋮ Effective sup-norm bounds on average for cusp forms of even weight ⋮ Beyond the spherical sup-norm problem ⋮ EXPLICIT BOUNDS ON AUTOMORPHIC AND CANONICAL GREEN FUNCTIONS OF FUCHSIAN GROUPS

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