Bounding hyperbolic and spherical coefficients of Maass forms

DOI10.5802/jtnb.879zbMath1365.11048OpenAlexW2325884788MaRDI QIDQ262607

Farrell Brumley, Nicolas Templier, Valentin Blomer, Alex V. Kontorovich

Publication date: 30 March 2016

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/44c8bd7f85fdbd56d626f8174252f0ac90778a85

zbMATH Keywords

periodsSobolev normsmultiplicity oneWeyl's law

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Fourier coefficients of automorphic forms (11F30) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (2)

Effective equidistribution of shears and applications ⋮ Lattice points counting and bounds on periods of Maass forms

Cites Work

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• Limits of translates of divergent geodesics and integral points on one-sheeted hyperboloids
• Fourth moments of grossencharakteren zeta functions
• Rankin-Selberg without unfolding and bounds for spherical Fourier coefficients of Maass forms

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