Explizite Präsentation gewisser Hilbertscher Modulgruppen durch Erzeugende und Relationen.
Exponent of class group of certain imaginary quadratic fields
Let be an odd integer. We prove that there are infinitely many imaginary quadratic fields of the form whose ideal class group has an element of order . This family gives a counterexample to a conjecture by H. Wada (1970) on the structure of ideal class groups.
Exponential sums associated with algebraic number fields.
Exponential sums associated with the Dedekind zeta-functions.
Exponents of the class groups of complex quadratic fields
Extension aux nombres premiers complexes des théorèmes de M. Tchebicheff
Extensions à points de ramification donnés (en russe)
Extensions à points de ramification donnés (résumé français)
Extensions abéliennes non ramifiées de degré premier d'un corps quadratique
Extensions cycliques de degré sur
Extensions cycliques de degré , non ramifiées d’un corps quadratiques sur
Extensions cycliques de degré de corps de nombres -réguliers
We determine all cyclic extensions of prime degree over a -regular number field containing the -roots of unity which are also -regular. We classify these extensions according to the ramification index of the wild place in and to the -valuation of the relative class number (which is the quotient of the ordinary class numbers of and ). We study the case where the is odd prime, since the even case was studien by R. Berger. Our genus theory methods rely essentially on G. Gras...
Extensions cycliques non ramifiées
Extensions diedrales et courbes elliptiques
Extensions galoisiennes d'un corps local à groupes d'inertie cycliques.
Extensions icosaédriques
Extensions non abéliennes de degré d’un corps de nombres : étude locale-globale
Extensions quadratiques 2-birationnelles de corps totalement réels.
We characterize 2-birational CM-extensions of totally real number fields in terms of tame ramification. This result completes in this case a previous work on pro-l-extensions over 2-rational number fields.
Extensions quaternioniennes d’un corps de caractéristique différente de
Extensions quaternioniennes d'un corps de nombres