Maillet’s determinant
Matrices of the Stickelberger ideals mod for all primes up to 125,000
Méthodes et algorithmes pour le calcul numérique du nombre de classes et de unités des extensions cubiques cycliques de Q.
Minkowski units in certain metacyclic fields
Modular Curves and the Class Group of Q(...p).
Module de continuite des fonctions L2-adiques des caracteres quadratiques.
Modules sur certains anneaux de Dedekind.
Monogénéité de l'anneau des entiers des extensions cycliques imaginaries de degré 2 l (l premier ... 5).
Nombre d'extensions abéliennes sur Q
The aim of this paper is to give the numbers of abelian number fields with given degree and ramification indices. We describe, also, an algorithm to compute all these fields.
Non-existence and splitting theorems for normal integral bases
We establish new conditions that prevent the existence of (weak) normal integral bases in tame Galois extensions of number fields. This leads to the following result: under appropriate technical hypotheses, the existence of a normal integral basis in the upper layer of an abelian tower forces the tower to be split in a very strong sense.
Nonexistence of almost Moore digraphs of diameter three.
Nontrivial tame extensions over Hopf orders
Nonvanishing of a certain Bernoulli number and a related topic
Let be an odd prime number with q an odd integer. Let δ (resp. φ) be an odd (resp. even) Dirichlet character of conductor p and order (resp. order dividing q), and let ψₙ be an even character of conductor and order pⁿ. We put χ = δφψₙ, whose value is contained in . It is well known that the Bernoulli number is not zero, which is shown in an analytic way. In the extreme cases and q, we show, in an algebraic and elementary manner, a stronger nonvanishing result: for any pⁿth root ξ...
Norm residue symbol and cyclotomic units
Normal basis and Greenberg' s conjecture.
Normal integral bases for infinite abelian extensions
Note à propos d'une conjecture de H.J. Godwin sur les unités des corps cubiques
On démontre, à partir de résultats de H.J. Godwin, H. Brunotte et F. Halter-Koch, le théorème suivant : soit un corps cubique cyclique de conducteur dont le groupe de Galois est engendré par ; soit le groupe des unités de norme 1.Soit , , telle que soit minimum. Alors est un -générateur de .
Note on a congruence for p-adic L-functions.
Note on the class-number of the maximal real subfield of a cyclomatic field.
Note on the class-number of the maximal real subfield of a cyclomatic field.