Analogues -adiques de certaines fonctions arithmétiques
Analogues p-adiques de certaines fonctions arithmétiques.
Analyse -adique et congruences des coefficients de la série
Analysis on arithmetic schemes. I.
Analytic normal basis theorem
Let p be a prime number, ℚp the field of p-adic numbers, and a fixed algebraic closure of ℚp. We provide an analytic version of the normal basis theorem which holds for normal extensions of intermediate fields ℚp ⊆ K ⊆ L ⊆ .
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
Another Look at p-Adic L-Functions for Totally Real Fields.
Anti-cyclotomic Katz -adic -functions and congruence modules
Application de la logique à un problème de dimension diophantienne sur les corps
Applications arithmétiques de l'étude des valeurs aux entiers négatifs des séries de Dirichlet associées à un polynôme
Nous étudions les fonctions -adiques associées à des séries du typedans certains cas, où elles admettent un prolongement méromorphe à avec un nombre fini de pôles et des valeurs aux entiers négatifs algébriques. On retrouve comme cas particulier les fonctions -adiques des corps totalement réels et les fonctions -multiples -adiques.
Approximation pondérée sur un corps de nombres -adiques
Approximation pondérée sur un corps de nombres -adiques
Approximations diophantiennes et problèmes additifs dans les groupes abéliens localement compacts
Arithmetic and Galois module structure for tame extensions.
Arithmetic of formal groups and applications I: Universal norm subgroups.
Arithmetic Properties of Generalized Rikuna Polynomials
Fix an integer . Rikuna introduced a polynomial defined over a function field whose Galois group is cyclic of order , where satisfies some mild hypotheses. In this paper we define the family of generalized Rikuna polynomials of degree . The are constructed iteratively from the . We compute the Galois groups of the for odd over an arbitrary base field and give applications to arithmetic dynamical systems.
Arithmetical properties of finite rings and algebras, and analytical number theory. V. Categories and relative analytic number theory.
Arithmetik in Frobeniuserweiterungen.