A Dirichlet Series Associated to Eisenstein Series of Degree Two.
A generalization of Gauss sums and its applications to Siegel modular forms and L-functions associated with the vector space of quadratic forms.
A Remark on Kitaoka formal power series attached to local densities.
A restricted Epstein zeta function and the evaluation of some definite integrals
A spectral analysis of automorphic distributions and Poisson summation formulas
Automorphic distributions are distributions on , invariant under the linear action of the group . Combs are characterized by the additional requirement of being measures supported in : their decomposition into homogeneous components involves the family , of Eisenstein distributions, and the coefficients of the decomposition are given as Dirichlet series . Functional equations of the usual (Hecke) kind relative to turn out to be equivalent to the invariance of the comb under some modification...
Action of Hecke Operator T(p) on Theta Series.
Analyse spectrale et prolongement analytique : séries d’Eisenstein, fonctions et nombre de solutions d’équations diophantiennes
Arithmetical equivalents for a remarkable identity between theta functions . . . . . . . . . . . . . . .
Autographirte Vorlesungshefte, III
CM liftings of supersingular elliptic curves
Assuming GRH, we present an algorithm which inputs a prime and outputs the set of fundamental discriminants such that the reduction map modulo a prime above from elliptic curves with CM by to supersingular elliptic curves in characteristic is surjective. In the algorithm we first determine an explicit constant so that implies that the map is necessarily surjective and then we compute explicitly the cases .
Co-fibered products of algebraic curves
We give examples of failure of the existence of co-fibered products in the category of algebraic curves.
Construction of entire modular forms of weights 5 and 6 for the congruence group .
Darstellungen von SL(2,.../p...) und Thetafunktionen. II.
Der Multiplikator von Thetareihen höheren Grades zu quadratischen Formen ungerader Ordnung.
Die Nullstellen der Thetareihen zu positiven binar-quadratischen Formen.
Eichler Commutation Relations for Theta Series of Nebentypus.
Even Unimodular 8-Dimensional Quadratic Forms Over Q(...2).
Exceptions of integral quadratic forms.
Fonction zêta d’Epstein et dilogarithme de Bloch-Wigner
Nous exprimons certaines séries d’Epstein normalisées en comme combinaisons linéaires de dilogarithmes de Bloch-Wigner en des nombres algébriques des corps pour les discriminants associés à la forme quadratique.
Hecke operators on theta series attached to lattices of arbitrary rank