Calcul des résidus en analyse -adique
Calcul du nombre de points sur une courbe elliptique dans un corps fini : aspects algorithmiques
Nous décrivons dans cet article les algorithmes nécessaires à une implantation efficace de la méthode de Schoof pour le calcul du nombre de points sur une courbe elliptique dans un corps fini. Nous tentons d’unifier pour cela les idées d’Atkin et d’Elkies. En particulier, nous décrivons le calcul d’équations pour , premier, ainsi que le calcul efficace de facteurs des polynômes de division d’une courbe elliptique.
Carre symetrique d'une forme primitive.
Casimir operators on pseudodifferential operators of several variables.
Central Characters for Smooth Irreducible Modular Representations of
Certain L-functions at s = 1/2
Introduction. The vanishing orders of L-functions at the centers of their functional equations are interesting objects to study as one sees, for example, from the Birch-Swinnerton-Dyer conjecture on the Hasse-Weil L-functions associated with elliptic curves over number fields. In this paper we study the central zeros of the following types of L-functions: (i) the derivatives of the Mellin transforms of Hecke eigenforms for SL₂(ℤ), (ii) the Rankin-Selberg...
Certain L-series of Ranking-Selberg type associated to Siegel modular forms of degree g.
Certain mean values and non-vanishing of automorphic L-functions with large level
Changements de base explicites des représentations supercuspidales de
Soit un corps local non archimédien de caractéristique nulle et de caractéristique résiduelle impaire. On décrit explicitement les changements de base des représentations supercuspidales de . C’est une étape vers la description du changement de base des paquets endoscopiques supercuspidaux de .
Chapter 15 of Ramanujan's Second Notebook: Part 2, Modular forms
Characteristic Twists of a Dirichlet series for Siegel Cusp Forms.
Charles Hermite’s stroll through the Galois fields
Although everything seems to oppose the two mathematicians, Charles Hermite’s role was crucial in the study and diffusion of Évariste Galois’s results in France during the second half of the nineteenth century. The present article examines that part of Hermite’s work explicitly linked to Galois, the reduction of modular equations in particular. It shows how Hermite’s mathematical convictions—concerning effectiveness or the unity of algebra, analysis and arithmetic—shaped his interpretation of Galois...
Chebyshev polynomials and the modulary group of level p
Chern numbers for singular varieties and elliptic homology.
Chern Numbers of Algebraic Surfaces.
Chern numbers of cusp resolutions in totally real cubic number fields.
Chern numbers of Hilbert modular varieties.
Class 2 Galois representations of Kummer type.
Class invariants by Shimura's reciprocity law
We apply the Shimura reciprocity law to determine when values of modular functions of higher level can be used to generate the Hilbert class field of an imaginary quadratic field. In addition, we show how to find the corresponding polynomial in these cases. This yields a proof for conjectural formulas of Morain and Zagier concerning such polynomials.
Class numbers, Jacobi forms and Siegel-Eisenstein series of weight 2 on Sp2.