6 datasets found

Suivi d'un appendice par Emmanuel Breuillard

Call integer $y$ friable if its largest prime factor does not exceed $y$. We study friable integers in the context of analytic and probabilistic number theory. We...

Geometric invariant theory is a central subject in nowadays' algebraic geometry : developed by Mumford in the early sixties, it enhanced the knowledge of projective...

This thesis looks at the interplay of three important domains: combinatorics on words, theory of finite-state automata and number theory. More precisely, we show how...

Sphere packings, mostly in R^n, and beta-integers, are the objects considered in this thesis. They are indifferently described in the language of sphere packings or in...

Denote by A := F q [T] and k := F q (T). Let φ be a Drinfeld A-module defined on the algebraic closure of k and h its canonical height. Let K/k be a finite extension...