Neubegründung der Klassenkörpertheorie.
Neue Grundlagen der Arithmetik.
New ramification breaks and additive Galois structure
Which invariants of a Galois -extension of local number fields (residue field of char , and Galois group ) determine the structure of the ideals in as modules over the group ring , the -adic integers? We consider this question within the context of elementary abelian extensions, though we also briefly consider cyclic extensions. For elementary abelian groups , we propose and study a new group (within the group ring where is the residue field) and its resulting ramification filtrations....
Nilpotent local class field theory
Nombre de points des variétés de Shimura sur un corps fini
Nombre de zéros des fonctions exponentielles-polynômes
Nombres de Bell et analyse -adique
Nombres de Bernoulli et fonctions -adiques
Nonarchimedean Harmonie Analysis and Analytic Functions.
Normal bases for the space of continuous functions defined on a subset of Zp.
Let K be a non-archimedean valued field which contains Qp and suppose that K is complete for the valuation |·|, which extends the p-adic valuation. Vq is the closure of the set {aqn|n = 0,1,2,...} where a and q are two units of Zp, q not a root of unity. C(Vq → K) is the Banach space of continuous functions from Vq to K, equipped with the supremum norm. Our aim is to find normal bases (rn(x)) for C(Vq → K), where rn(x) does not have to be a polynomial.
Normal bases of rings of continuous functions constructed with the (qₙ)-digit principle
Normal integral bases and complex conjugation.
Note on a congruence for p-adic L-functions.
Note on -extensions of Euler numbers and polynomials of higher order.
Note on -Nasybullin's lemma associated with the modified -adic -Euler measure.
Notes p-adiques sur les courbes elliptiques.
Nouveau point de vue sur le prolongement algébrique
Number fields with the same index
Numbers with order ≤ 1