Formules de trace et non-annulation de fonctions L automorphes au niveau
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 expansions of complex-valued Eisenstein series on finite upper half planes.