Formules de trace et non-annulation de fonctions L automorphes au niveau
Fourier Coefficients of Cusp Forms.
Fourier coefficients of cusp forms and the Riemann zeta-function
Fourier Coefficients of Generalized Eisenstein Series of Degree Two. I.
Fourier coefficients of Hilbert cusp forms associated with mixed Hilbert cusp forms.
Fourier coefficients of Jacobi forms over Cayley numbers.
In this paper we shall compute explicitly the Fourier coefficients of the Eisenstein seriesEk,m(z,w) = 1/2 ∑(c,d)=1 (cz + d)-k ∑t∈o exp {2πim((az + b/cz +d)N(t)) + σ(t,(w/cz +d) - (cN(w)/cz + d)}which is a Jacobi form of weight k and index m defined on H1 x CC, the product of the upper half-plane and Cayley numbers over the complex field C. The coefficient of e2πi(nz + σ(t,w)) with nm > N(t) has the form-2(k - 4)/Bk-4 ∏p SpHere Sp is an elementary factor which depends only on νp(m), νp(t),...
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