Fourier Coefficients of Modular Forms of Half-Integral Weight.
Fourier coefficients of modular forms of half-integral weight.
Fourier coefficients of real analytic cusp forms of arbitrary real weight
Fourier coefficients of the resolvent for a Fuchsian group.
Fourier expansion along geodesics on Riemann surfaces
For an eigenfunction of the Laplacian on a hyperbolic Riemann surface, the coefficients of the Fourier expansion are described as intertwining functionals. All intertwiners are classified. A refined growth estimate for the coefficients is given and a summation formula is proved.
Fourier expansions of complex-valued Eisenstein series on finite upper half planes.
Fourier transformation and endoscopy. (Transformation de Fourier et endoscopie.)
Fourth power mean of character sums
Fractional integrals of modular forms
Free quotients of congruence subgroups of Bianchi groups.
Free Quotients of Congruence Subgroups of SL2 Over a Coordinate Ring.
From pseudodifferential analysis to modular form theory
Taking advantage of methods originating with quantization theory, we try to get some better hold - if not an actual construction - of Maass (non-holomorphic) cusp-forms. We work backwards, from the rather simple results to the mostly devious road used to prove them.
From the Taniyama-Shimura conjecture to Fermat's last theorem
Function fields of certain arithmetic curves and application
Functional equation satisfied by certain -functions
Functoriality and number of solutions of congruences
Functoriality and the Inverse Galois problem II: groups of type and
This paper contains an application of Langlands’ functoriality principle to the following classical problem: which finite groups, in particular which simple groups appear as Galois groups over ? Let be a prime and a positive integer. We show that that the finite simple groups of Lie type if and appear as Galois groups over , for some divisible by . In particular, for each of the two Lie types and fixed we construct infinitely many Galois groups but we do not have a precise control...
Functoriality for the classical groups
Galois representations
Galois representations, embedding problems and modular forms.
To an odd irreducible 2-dimensional complex linear representation of the absolute Galois group of the field Q of rational numbers, a modular form of weight 1 is associated (modulo Artin's conjecture on the L-series of the representation in the icosahedral case). In addition, linear liftings of 2-dimensional projective Galois representations are related to solutions of certain Galois embedding problems. In this paper we present some recent results on the existence of liftings of projective representations...