EuDML | Browse

We develop a recursive method for computing the $r$ -removed $P$ -orderings and $P$ -orderings of order $h,$ the characteristic sequences associated to these and limits associated to these sequences for subsets $S$ of a Dedekind domain $D .$ This method is applied to compute these objects for $S = ℤ$ and $S = ℤ ∖ p ℤ$ .

Conditions globales pour les problèmes de plongement à noyau abélien

Georges Poitou (1979)

Annales de l'institut Fourier

On considère un problème de plongement de corps de nombres algébriques, dont le noyau est abélien, et on suppose que les problèmes locaux correspondants sont résolubles. On montre que les conditions complémentaires de résolubilité, dites globales, sont fournies pour un nombre fini de représentations du noyau dans le groupe de classes d’idèles. Dans le cas d’un noyau cyclique, une seule suffit, et on la calcule.

Congruences de coefficients de séries de Taylor (Application aux nombres de Bernoulli-Hurwitz)

Daniel Barsky (1975/1976)

Groupe de travail d'analyse ultramétrique

Congruences entre séries d'Eisenstein, dans le cas supersingulier.

Gilles Robert (1980)

Inventiones mathematicae

Congruences modulo $ℓ$ between $ϵ$ factors for cuspidal representations of $G L (2)$

Marie-France Vignéras (2000)

Journal de théorie des nombres de Bordeaux

Let $ℓ \neq p$ be two different prime numbers, let $F$ be a local non archimedean field of residual characteristic $p$ , and let ${\bar{𝐐}}_{ℓ}, {\bar{𝐙}}_{ℓ}, {\bar{𝐅}}_{ℓ}$ be an algebraic closure of the field of $ℓ$ -adic numbers $𝐐_{ℓ}$ , the ring of integers of ${\bar{𝐐}}_{ℓ}$ , the residual field of ${\bar{𝐙}}_{ℓ}$ . We proved the existence and the unicity of a Langlands local correspondence over ${\bar{𝐅}}_{ℓ}$ for all $n \geq 2$ , compatible with the reduction modulo $ℓ$ in [V5], without using $L$ and $ϵ$ factors of pairs. We conjecture that the Langlands local correspondence over ${\bar{𝐐}}_{ℓ}$ respects congruences modulo $ℓ$ between...

Congruences pour les nombres de Schröder

Daniel Barsky (1978/1979)

Groupe de travail d'analyse ultramétrique

Conjugacy classes of series in positive characteristic and Witt vectors.

Sandrine Jean (2009)

Journal de Théorie des Nombres de Bordeaux

Let $k$ be the algebraic closure of $𝔽_{p}$ and $K$ be the local field of formal power series with coefficients in $k$ . The aim of this paper is the description of the set $𝒴_{n}$ of conjugacy classes of series of order $p^{n}$ for the composition law. This work is concerned with the formal power series with coefficients in a field of characteristic $p$ which are invertible and of finite order $p^{n}$ for the composition law. In order to investigate Oort’s conjecture, I give a description of conjugacy classes of series by means...

Constructing class fields over local fields

Sebastian Pauli (2006)

Journal de Théorie des Nombres de Bordeaux

Let $K$ be a $𝔭$ -adic field. We give an explicit characterization of the abelian extensions of $K$ of degree $p$ by relating the coefficients of the generating polynomials of extensions $L / K$ of degree $p$ to the exponents of generators of the norm group $N_{L / K} (L^{*})$ . This is applied in an algorithm for the construction of class fields of degree $p^{m}$ , which yields an algorithm for the computation of class fields in general.

Currently displaying 21 – 40 of 51

Previous Page 2 Next

Displaying 21 – 40 of 51

Comportement des fonctions $L p$ -adiques au voisinage de zéro

Comportement local des fonctions continues sur un compact régulier d'un corps local

Composition de séries formelles et corps de classes

Comptage de représentations de groupes de Galois locaux

Computing Galois groups by means of Newton polygons

Computing Igusa's local zeta functions of univariate polynomials, and linear feedback shift registers.

Computing $r$ -removed $P$ -orderings and $P$ -orderings of order $h$

Conditions globales pour les problèmes de plongement à noyau abélien

Congruences de coefficients de séries de Taylor (Application aux nombres de Bernoulli-Hurwitz)

Congruences entre séries d'Eisenstein, dans le cas supersingulier.

Congruences modulo $ℓ$ between $ϵ$ factors for cuspidal representations of $G L (2)$

Congruences pour les nombres de Schröder

Conjugacy classes of series in positive characteristic and Witt vectors.

Constructing class fields over local fields

Construction des extensions primitives d’un corps $p$ -adique

Continuous Cohomology and p-Adic Galois Representations.

Continuous functions on compact subsets of local fields

Convolution de Rankin p-adique.

Corps de fonctions algébriques

Correction to "Computing Galois groups by means of Newton polygons" (Acta Arith. 115 (2004), 71-84)

Currently displaying 21 – 40 of 51