Congruences et formes modulaires
Congruences modulo 16 for the class numbers of the quadratic fields Q(ñp) and Q(ñ2p) for p a prime congruent to 5 modulo 8
Congruences of Ankeny-Artin-Chowla type and the p-adic class number formula revisited
The purpose of this paper is to interpret the results of Jakubec and his collaborators on congruences of Ankeny-Artin-Chowla type for cyclic totally real fields as an elementary algebraic version of the p-adic class number formula modulo powers of p. We show how to generalize the previous results to congruences modulo arbitrary powers and to equalities in the p-adic completion of the field of rational numbers ℚ. Additional connections to the Gross-Koblitz formula and explicit congruences for...
Conjecture principale équivariante, idéaux de Fitting et annulateurs en théorie d’Iwasawa
Pour un nombre premier impair et une extension abélienne de corps de nombres totalement réels, nous utilisons la Conjecture Principale Équivariante démontrée par Ritter et Weiss (modulo la nullité de l’invariant ) pour calculer l’idéal de Fitting d’un certain module d’Iwasawa sur l’algèbre complète où et est la -extension cyclotomique de . Par descente, nous en déduisons la -partie de la version cohomologique de la conjecture de Coates-Sinnott, ainsi qu’une forme faible de la -partie...
Conjugacy classes of -torsion in symplectic groups over -integers.
Conjugate Algebraic Integers on a Circle with Irrational Center.
Conjugate algebraic numbers on circles
Conjugate algebraic numbers on conics
Conjugate Algebraic Units in a Special Interval.
Connected abelian complex Lie groups and number fields
In this note we explain a way to associate to any number field some connected complex abelian Lie groups. Further, we study the case of non-totally real cubic number fields, and we see that they are intimately related with the Cousin groups (toroidal groups) of complex dimension and rank .
Connectedness of number theoretic tilings.
Connecting homomorphisms associated to Tate sequences
Connection between Schinzel’s conjecture and divisibility of the class number
Connection between the Wieferich congruence and divisibility of h⁺
Connections between for even quadratic Dirichlet characters and class numbers of appropriate imaginary quadratic fields, II
Connections between for even quadratic Dirichlet characters and class numbers of appropriate imaginary quadratic fields, I
Consecutive integers in algebraic number fields.
Consecutive powers in continued fractions
Conservative polynomials and yet another action of on plane trees
In this paper we study an action of the absolute Galois group on bicolored plane trees. In distinction with the similar action provided by the Grothendieck theory of “Dessins d’enfants” the action is induced by the action of on equivalence classes of conservative polynomials which are the simplest examples of postcritically finite rational functions. We establish some basic properties of the action and compare it with the Grothendieck action.
Constante de Lenstra et corps de nombres euclidiens