La propriété des corps
Lagrange Resolvents.
Le corps des séries de Puiseux généralisées
Le théorème d'irréductibilité de Hilbert
Linear quadratic control. State space vs. polynomial equations
Linear relations between roots of polynomials
Line-hyperline pairs of projective spaces and fundamental subgroups of linear groups.
Localisation des zéros de polynômes par rapport au cercle unité
Localisation des zéros de polynômes réciproques
Lower bounds on the class number of algebraic function fields defined over any finite field
We give lower bounds on the number of effective divisors of degree with respect to the number of places of certain degrees of an algebraic function field of genus defined over a finite field. We deduce lower bounds for the class number which improve the Lachaud - Martin-Deschamps bounds and asymptotically reaches the Tsfasman-Vladut bounds. We give examples of towers of algebraic function fields having a large class number.