Congruences pour les nombres de Schröder
Congruenze per integrali ellittici
Conjecture de Schanuel sur la transcendance d'exponentielles
Conjecture Jacobienne et opérateurs différentiels
Conjectures sur les équations différentielles -adiques linéaires
Conjugacy classes of series in positive characteristic and Witt vectors.
Let be the algebraic closure of and be the local field of formal power series with coefficients in . The aim of this paper is the description of the set of conjugacy classes of series of order for the composition law. This work is concerned with the formal power series with coefficients in a field of characteristic which are invertible and of finite order for the composition law. In order to investigate Oort’s conjecture, I give a description of conjugacy classes of series by means...
Conjugated and symmetric polynomial equations. I. Continuous-time systems
Conjugated and symmetric polynomial equations. II. Discrete-time systems
Conservation of the noetherianity by perfect transcendental field extensions.
Constraints on the Angular Distribution of the Zeros of a Polynomial of Low Complexity.
Constructing Banaschewski compactification without Dedekind completeness axiom.
Constructing Quasi-Pythagorean Fields
Constructing ω-stable structures: Computing rank
This is a sequel to [1]. Here we give careful attention to the difficulties of calculating Morley and U-rank of the infinite rank ω-stable theories constructed by variants of Hrushovski's methods. Sample result: For every k < ω, there is an ω-stable expansion of any algebraically closed field which has Morley rank ω × k. We include a corrected proof of the lemma in [1] establishing that the generic model is ω-saturated in the rank 2 case.
Construction de bases normales pour les extensions galoisiennes absolues à groupe de Galois quaternionien d’ordre
On donne une caractérisation simple pour l’existence des bases normales pour les extensions modérément ramifiées à groupe de Galois quaternionien d’ordre . La preuve conduit à un algorithme que l’on illustre par un exemple.
Construction des extensions galoisiennes non abéliennes d'ordre pq ( p et q premiers) du corps des rationnels
Construction of a net without transversals over a non-planar near-field
Construction of a regular extension of with Galois group . (Construction d'une extension régulière de de groupe de Galois .)
Construction of continuous idele class characters in quadratic number fields, and imbedding problems for dihedral and quaternion fields
Construction of normal bases in cyclic extensions of a field
Construction of the mutually orthogonal extraordinary supersquares
Our purpose is to determine the complete set of mutually orthogonal squares of order d, which are not necessary Latin. In this article, we introduce the concept of supersquare of order d, which is defined with the help of its generating subgroup in . We present a method of construction of the mutually orthogonal supersquares. Further, we investigate the orthogonality of extraordinary supersquares, a special family of squares, whose generating subgroups are extraordinary. The extraordinary subgroups...