Généralisation d'un théorème de I. M. Vinogradov à un corps de séries formelles sur un corps fini
Généralisation d’un théorème d’Iwasawa
Nous généralisons à certains quotients finis d’un -module noethérien non nécessairement de torsion le classique théorème d’Iwasawa sur l’expression asymptotique du -nombre de classes dans les -extensions. Puis nous illustrons les résultats obtenus en déterminant explicitement les caractères invariants attachés aux -groupes de -classes -infinitésimales dans une tour cyclotomique à partir de quelques paramètres référents et de données galoisiennes simples des extensions considérées. Un outil...
Généralisation d'une famille de Shanks
Generalised Mertens and Brauer-Siegel theorems
Generalization of a theorem of Siegel
Generalization of the Moore exact sequence and the wild kernel for higher K-groups
Generalized Dedekind sums, correlation of L-series, and the Galois module of cot(π/N)cot(mπ/N)
Generalized Eta-Functions and Certain Ray Class Invariants of Real Quadratic Fields.
Generalized Iwasawa invariants in a family
Generalized Kummer theory and its applications
In this report we study the arithmetic of Rikuna’s generic polynomial for the cyclic group of order and obtain a generalized Kummer theory. It is useful under the condition that and where is a primitive -th root of unity and . In particular, this result with implies the classical Kummer theory. We also present a method for calculating not only the conductor but also the Artin symbols of the cyclic extension which is defined by the Rikuna polynomial.
Generalized Lagrange criteria for certain quadratic Diophantine equations.
Generation of class fields by the modular function
Genre arithmétique des groupes modulaires de Hilbert et nombres de classes de quaternions.
Genre et genre residuel des corps de fonctions values.
Genre et genre résiduel des corps de fonctions valués
Genus number and l-Rank of Genus Group of cyclic extensions of Degree l.
Genus zero translates of three point ramified Galois extensions.
Geometric realization and coincidence for reducible non-unimodular Pisot tiling spaces with an application to -shifts
This article is devoted to the study of the translation flow on self-similar tilings associated with a substitution of Pisot type. We construct a geometric representation and give necessary and sufficient conditions for the flow to have pure discrete spectrum. As an application we demonstrate that, for certain beta-shifts, the natural extension is naturally isomorphic to a toral automorphism.
Geometric study of the beta-integers for a Perron number and mathematical quasicrystals
We investigate in a geometrical way the point sets of obtained by the -numeration that are the -integers where is a Perron number. We show that there exist two canonical cut-and-project schemes associated with the -numeration, allowing to lift up the -integers to some points of the lattice ( degree of ) lying about the dominant eigenspace of the companion matrix of . When is in particular a Pisot number, this framework gives another proof of the fact that is...
Geometric theta-lifting for the dual pair
Let be a smooth projective curve over an algebraically closed field of characteristic . Consider the dual pair over with split. Write and for the stacks of -torsors and -torsors on . The theta-kernel on yields theta-lifting functors and between the corresponding derived categories. We describe the relation of these functors with Hecke operators. In two particular cases these functors realize the geometric Langlands functoriality for the above pair (in the non ramified case)....