Singular Moduli, Modular Polynomials, and the Index of the Closure of Z [j (...)] in Q (j(...)).
Solution of a generalised version of a problem of Rankin on sums of powers of cusp-form coefficients
Some Examples of Weber-Hecke Ring Class Field Theory.
Some Invariants of Zd-p-Extensions.
Some remarks about the power residue symbol
Some remarks on the local class field theory of Serre and Hazewinkel
We give a new approach for the local class field theory of Serre and Hazewinkel. We also discuss two-dimensional local class field theory in this framework.
Some unramified abelian extensions of algebraic number fields.
Stark's conjecture in multi-quadratic extensions, revisited
Stark’s conjectures connect special units in number fields with special values of -functions attached to these fields. We consider the fundamental equality of Stark’s refined conjecture for the case of an abelian Galois group, and prove it when this group has exponent . For biquadratic extensions and most others, we prove more, establishing the conjecture in full.
Steinitz classes and discriminant counting
Steinitz classes of some abelian and nonabelian extensions of even degree
The Steinitz class of a number field extension is an ideal class in the ring of integers of , which, together with the degree of the extension determines the -module structure of . We denote by the set of classes which are Steinitz classes of a tamely ramified -extension of . We will say that those classes are realizable for the group ; it is conjectured that the set of realizable classes is always a group.In this paper we will develop some of the ideas contained in [7] to obtain some...
Steinitz classes of tamely ramified nonabelian extensions of odd prime power order
Stickelberger’s congruences for absolute norms of relative discriminants
We give an improvement of a result of J. Martinet on Stickelbergers congruences for the absolute norms of relative discriminants of number fields, by using classical arguments of class field theory.
Strahlknoten und Geschlechterkörper mod m.
Structure galoisienne et corps de classes de rayon de conducteur 2
Superprimes and a generalized Frobenius symbol
Sur la construction d'un corps de Hilbert.
Sur la formule du produit pour le symbole de reste normique généralisé
Sur la monogeneite de l'anneau des entiers de certains corps de rayon.
Sur la structure du -groupe des classes du corps cyclotomique , d’après Léopoldt
Sur la théorie des genres dans les tours métabéliennes