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math.NT2021
A subspace theorem for manifolds
Emmanuel Breuillard, Nicolas de Saxcé
We prove a theorem that generalizes Schmidt's Subspace Theorem in the context of metric diophantine approximation. To do so we reformulate the Subspace theorem in the framework of…
math.NT2018
On the Lehmer conjecture and counting in finite fields
Emmanuel Breuillard, Péter P. Varjú
We give a reformulation of the Lehmer conjecture about algebraic integers in terms of a simple counting problem modulo p.
math.NT2013
Small doubling in groups
Emmanuel Breuillard, Ben Green, Terence Tao
Let A be a subset of a group G = (G,.). We will survey the theory of sets A with the property that |A.A| <= K|A|, where A.A = {a_1 a_2 : a_1, a_2 in A}. The case G = (Z,+) is the f…