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Bounding hyperbolic and spherical coefficients of Maass forms. (English) Zbl 1365.11048

Summary: We develop a new method to bound the hyperbolic and spherical Fourier coefficients of Maass forms defined with respect to arbitrary uniform lattices.

MSC:

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

References:

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