On geometric density of Hecke eigenvalues for certain cusp forms

DOI10.1007/s00208-009-0444-3zbMath1270.11052OpenAlexW2013548473MaRDI QIDQ966443

Goran Muić

Publication date: 23 April 2010

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-009-0444-3

zbMATH Keywords

cusp formPoincare seriescuspformHecke eigenvalue distributionsimple trace formula

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Automorphic forms in several complex variables (32N10) Hecke-Petersson operators, differential operators (several variables) (11F60) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items (2)

On the structure of the space of cusp forms for a semisimple group over a number field ⋮ On the cuspidal modular forms for the Fuchsian groups of the first kind

Uses Software

• GL(n)pack

Cites Work

• On a construction of certain classes of cuspidal automorphic forms via Poincaré series
• On the cuspidal modular forms for the Fuchsian groups of the first kind
• Geometry of dual spaces of reductive groups (non-Archimedean case)
• Some finiteness properties of adele groups over number fields
• Compactification of arithmetic quotients of bounded symmetric domains
• Discrete series for semisimple Lie groups. II: Explicit determination of the characters
• Spectral decomposition of compactly supported Poincaré series and existence of cusp forms
• Automorphic Forms and L-Functions for the GroupGL(n, R)
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