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Displaying 3661 – 3680 of 16591

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Distribution de la constante d'Hermite et du plus court vecteur dans les réseaux de dimension deux

Henri Laville, Brigitte Vallée (1994)

Journal de théorie des nombres de Bordeaux

En utilisant la géométrie du demi-plan de Poincaré et des familles de disques classiques - disques de Ford, disques de Farey - nous décrivons les domaines de niveau associés à la constante d'Hermite et au plus court vecteur d'un réseau. Nous en déduisons une évaluation très précise des fonctions de répartition correspondantes, en particulier au voisinage de l'origine.

Distribution des points de petite hauteur dans les groupes multiplicatifs

Francesco Amoroso, Sinnou David (2004)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

We prove a new lower bound for the height of points on a subvariety  V of a multiplicative torus, which lie outside the union of torsion subvarieties of  V . Although lower bounds for the heights of these points where already known (decreasing multi-exponential function of the degree for Scmhidt and Bombieri–Zannier, [Sch], [Bo-Za], and inverse monomial in the degree by the second author of this note and P. Philippon, [Da-Phi]), our method provesup to an ε the sharpest conjectures that can be formulated....

Currently displaying 3661 – 3680 of 16591