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A local analogue of the Grothendieck Conjecture is an equivalence between the category of complete discrete valuation fields $K$ with finite residue fields of characteristic $p \neq 0$ and the category of absolute Galois groups of fields $K$ together with their ramification filtrations. The case of characteristic 0 fields $K$ was studied by Mochizuki several years ago. Then the author of this paper proved it by a different method in the case $p > 2$ (but with no restrictions on the characteristic of $K$ ). In this paper...

Module de continuité des polynômes binomiaux dans $ℤ_{p}$ , application aux fonctions continues sur $ℤ_{p}$

Eve Helsmoortel (1968/1969)

Séminaire de théorie des nombres de Bordeaux

Modules galoisiens de torsion et dualité.

Maryse DESROCHERS (1983/1984)

Seminaire de Théorie des Nombres de Bordeaux

Motives over totally real fields and $p$ -adic $L$ -functions

Alexei A. Panchishkin (1994)

Annales de l'institut Fourier

Special values of certain $L$ functions of the type $L (M, s)$ are studied where $M$ is a motive over a totally real field $F$ with coefficients in another field $T$ , and $L (M, s) = \prod_{𝔭} L_{𝔭} (M, 𝒩 𝔭^{- s})$ is an Euler product $𝔭$ running through maximal ideals of the maximal order $𝒪_{F}$ of $F$ and $\begin{matrix} L_{𝔭} (M, X)^{- 1} & = (1 - α^{(1)} (𝔭) X) \cdot (1 - α^{(2)} (𝔭) X) \cdot ... \cdot (1 - α (d) (𝔭) X) \\ = 1 + A_{1} (𝔭) X + ... + A_{d} (𝔭) X^{d} \end{matrix}$ being a polynomial with coefficients in $T$ . Using the Newton and the Hodge polygons of $M$ one formulate a conjectural criterium for the existence of a $p$ -adic analytic continuation of the special values. This conjecture is verified in a number of cases related to...

Multiple p-adic log-gamma functions and their characterization theorem

Ken Kamano (2010)

Acta Arithmetica

Multiplicative Systems on Ultra-Metric Spaces

Memic, Nacima (2010)

Mathematica Balkanica New Series

AMS Subj. Classiﬁcation: MSC2010: 42C10, 43A50, 43A75We perform analysis of certain aspects of approximation in multiplicative systems that appear as duals of ultrametric structures, e.g. in cases of local ﬁelds, totally disconnected Abelian groups satisfying the second axiom of countability or more general ultrametric spaces that do not necessarily possess a group structure. Using the fact that the unit sphere of a local ﬁeld is a Vilenkin group, we introduce a new concept of diﬀerentiation in...

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Majoration du nombre de zéros dans un disque des fonctions $L p$ -adiques

Majoration du nombre de zéros d’une somme polynomiale d’exponentielles $p$ -adiques

Mesures et éléments analytiques $p$ -adiques

Mesures $p$ -adiques

Mesures $p$ -adiques à densité

Mesures $p$ -adiques à densité $2$

Mesures p-adiques et éléments analytiques.

Mesures p-adiques et éléments analytiques.

Metabelian local class field theory.

Metric subgroups of isometries on an ultrametric space.

Mod p³ analogues of theorems of Gauss and Jacobi on binomial coefficients

Modified proof of a local analogue of the Grothendieck conjecture

Module de continuité des polynômes binomiaux dans $ℤ_{p}$ , application aux fonctions continues sur $ℤ_{p}$

Modules galoisiens de torsion et dualité.

Motives over totally real fields and $p$ -adic $L$ -functions

Multiple p-adic log-gamma functions and their characterization theorem

Multiplicative Systems on Ultra-Metric Spaces

Multivariate interpolation functions of higher-order $q$ -Euler numbers and their applications.

Multivariate $p$ -adic fermionic $q$ -integral on $ℤ_{p}$ and related multiple zeta-type functions.

Multivariate twisted $p$ -adic $q$ -integral on $ℤ_{p}$ associated with twisted $q$ -Bernoulli polynomials and numbers.

Currently displaying 1 – 20 of 20