Algèbre de Banach des éléments analytiques sur un corps valué non archimédien
Algèbre d'Iwasawa
Algèbre du groupe infini ... et produit tensoriel de corps valués.
Algèbres -adiques
An extension of the Apéry number supercongruence
An infinite dimensional Hodge-Tate theory
Analogs of Bernoulli polynomials in fields Zp.
Analogues p-adiques de certaines fonctions arithmétiques.
Analyse -adique et congruences des coefficients de la série
Analytic potential theory over the -adics
Over a non-archimedean local field the absolute value, raised to any positive power , is a negative definite function and generates (the analogue of) the symmetric stable process. For , this process is transient with potential operator given by M. Riesz’ kernel. We develop this potential theory purely analytically and in an explicit manner, obtaining special features afforded by the non-archimedean setting ; e.g. Harnack’s inequality becomes an equality.
Analytic properties of zeta functions and subgroup growth.
Annulation de T-filtres par des fonctions croulantes
Approximation pondérée sur un corps de nombres -adiques
Approximation pondérée sur un corps de nombres -adiques
Arithmetical properties of finite rings and algebras, and analytical number theory. V. Categories and relative analytic number theory.