A Classical Diophantine Problem and Modular Forms of Weight 3/2.
A local large sieve inequality for cusp forms
We prove a large sieve type inequality for Maass forms and holomorphic cusp forms with level greater or equal to one and of integral or half-integral weight in short interval.
A note on quadratic congruences.
A spectral proof of Rademacher's conjecture for congruence subgroups of the modular group.
An application of the projections of automorphic forms
Arithmetic of half integral weight theta-series
Automorphic forms, hyperfunction cohomology, and period functions.
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.
Bounds on sup-norms of half-integral weight modular forms
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.
Constructing modular forms from harmonic Maass Jacobi forms
We construct a family of modular forms from harmonic Maass Jacobi forms by considering their Taylor expansion and using the method of holomorphic projection. As an application we present a certain type Hurwitz class relations which can be viewed as a generalization of Mertens' result in M. H. Mertens (2016).
Correspondence among Eisenstein series ... .
Cycle integrals of Maass forms of weight 0 and Fourier coefficients of Maass forms of weight 1/2
Dedekind sums for Hecke groups
Divisibility criteria for class numbers of imaginary quadratic fields
Eisenstein series on quaternion Half-space.
Erratum à l'exposé n°711 : «Formes de Maass et représentations galoisiennes»
Formes de Maass et représentations galoisiennes
Formes modulaires à une et deux variable.
Fourier Coefficients of Modular Forms of Half-Integral Weight.
Fourier coefficients of modular forms of half-integral weight.