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Displaying 101 – 114 of 114

On the zeta functions of prehomogeneous vector spaces for a pair of simple algebras

Takashi Taniguchi (2007)

Annales de l’institut Fourier

In this paper we consider the prehomogeneous vector space for a pair of simple algebras which are inner forms of the $D_{4}$ type and the $E_{6}$ type. We mainly study the non-split cases. The main purpose of this paper is to determine the principal parts of the global zeta functions associated with these spaces when the simple algebras are non-split. We also give a description of the sets of rational orbits of these spaces, which clarifies the expected density theorems arising from the properties of these...

On the µ-invariants of cyclotomic fields

Kenkichi Iwasawa (1972)

Acta Arithmetica

On two definitions of the integral of a p-adic function

Kurt Mahler (1980)

Acta Arithmetica

On two types of complete discrete valuation fields

Masato Kurihara (1987)

Compositio Mathematica

On Unramified Galois Extensions Over Maximum Abelian Extensions of Algebraic Number Fields.

Mamoru Asada (1985)

Mathematische Annalen

On Values of Zeta Functions and ?-adic Euler Characteristc.

Jürgen Neukirch, Pilar Bayer (1978/1979)

Inventiones mathematicae

On Waring's Problem in p-adic fields

M. Dodson (1973)

Acta Arithmetica

On zeroes of the twisted tensor L-function.

Yuval Z. Flicker (1993)

Mathematische Annalen

Opérations d'Adams sur certains groupes de Grothendieck

Philippe CASSOU-NOGUÈS, Martin J. TAYLOR (1982/1983)

Seminaire de Théorie des Nombres de Bordeaux

Optimisation du théorème d’Ax-Sen-Tate et application à un calcul de cohomologie galoisienne $p$ -adique

Jérémy Le Borgne (2010)

Annales de l’institut Fourier

Soit $K$ un corps $p$ -adique, $G$ son groupe de Galois absolu et $v$ la valuation sur $C_{p}$ . Dans sa démonstration du théorème d’Ax-Sen-Tate, Ax montre que si pour un $A \in R$ , $x \in C_{p}$ vérifie $v (σ x - x) \geq A$ pour tout $σ \in G$ , alors il existe $y \in K$ tel que $v (x - y) \geq A - c$ , avec $c = p / {(p - 1)}^{2}$ . Ax se pose la question de l’optimalité de la constante $c$ , que nous étudions ici. En utilisant l’extension de $K$ engendrée par les racines $p^{m}$ -es d’une uniformisante fixée de $K$ , nous déterminons la constante optimale, ainsi que des informations supplémentaires sur les $x \in C_{p}$ tels que $v (σ x - x) \geq A$ pour...

Ordnungen von Quaternionenalgebren über lokalen Körpern.

Otto Körner (1982)

Journal für die reine und angewandte Mathematik

Ordre de transcendance sur $ℚ_{p}$

Alain Escassut (1979/1981)

Groupe de travail d'analyse ultramétrique

Orthogonal representations of Galois groups, Stiefel-Whitney classes and Hasse-Witt invariants.

A. Fröhlich (1985)

Journal für die reine und angewandte Mathematik

Overconvergent modular symbols and $p$ -adic $L$ -functions

Robert Pollack, Glenn Stevens (2011)

Annales scientifiques de l'École Normale Supérieure

This paper is a constructive investigation of the relationship between classical modular symbols and overconvergent $p$ -adic modular symbols. Specifically, we give a constructive proof of acontrol theorem (Theorem 1.1) due to the second author [19] proving existence and uniqueness of overconvergent eigenliftings of classical modular eigensymbols of non-critical slope. As an application we describe a polynomial-time algorithm for explicit computation of associated $p$ -adic $L$ -functions in this case. In...

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