Extensions abéliennes non ramifiées de degré premier d'un corps quadratique
Extensions algébriques et formes quadratiques
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 de Lie et groupes d'automorphismes de corps locaux
Extensions de quelques théorèmes de densité
Extensions diedrales et courbes elliptiques
Extensions galoisiennes d'un corps local à groupes d'inertie cycliques.
Extensions icosaédriques
Extensions infinies identiquement ramifiées.
Extensions non abéliennes de degré d’un corps de nombres : étude locale-globale
Extensions of asymptotic expansions from Chapter 15 of Ramanujan's second notebook.
Extensions of Bauer's identical congruences
Extensions of Büchi's problem: Questions of decidability for addition and kth powers
We generalize a question of Büchi: Let R be an integral domain, C a subring and k ≥ 2 an integer. Is there an algorithm to decide the solvability in R of any given system of polynomial equations, each of which is linear in the kth powers of the unknowns, with coefficients in C? We state a number-theoretical problem, depending on k, a positive answer to which would imply a negative answer to the question for R = C = ℤ. We reduce a negative answer for k = 2 and for...
Extensions of classical congruences for parameters in binary quadratic forms
Extensions of finite group schemes, and Hopf Galois theory over a complete discrete valuation ring.
Extensions of some formulae of A. Selberg.
Extensions of some parametric families of -triples.