Bounding hyperbolic and spherical coefficients of Maass forms
We develop a new method to bound the hyperbolic and spherical Fourier coefficients of Maass forms defined with respect to arbitrary uniform lattices.
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Valentin Blomer, Farrell Brumley, Alex Kontorovich, Nicolas Templier (2014)
Journal de Théorie des Nombres de Bordeaux
We develop a new method to bound the hyperbolic and spherical Fourier coefficients of Maass forms defined with respect to arbitrary uniform lattices.
Eren Mehmet Kıral (2014)
Acta Arithmetica
Bounding sup-norms of modular forms in terms of the level has been the focus of much recent study. In this work the sup-norm of a half-integral weight cusp form is bounded in terms of the level: we prove that for a modular form f̃ of level 4N and weight κ, a half-integer.
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