1 citations · 1 across the 4 of their papers we have counts for
6 papers
Kneser's theorem for upper Buck density and relative results
Francois Hennecart
Kneser's theorem in the integers asserts that denoting by the lower asymptotic density, if $\underline{\mathrm{d}}(X_1+\cdots+X_k)<\sum_{i=1}^k\underline{…
Kneser's Theorem in -finite Abelian groups
Pierre-Yves Bienvenu, François Hennecart
Let be a -finite abelian group, i.e. where is a non decreasing sequence of finite subgroups. For any , let $\underlin…
On sum-product bases
Francois Hennecart, Gyan Prakash, E. Pramod
Besides various asymptotic results on the concept of sum-product bases in , we consider by probabilistic arguments the existence of thin sets of integers such…
On the density of sumsets and product sets
Norbert Hegyvári, François Hennecart, Péter Pál Pach
In this paper some links between the density of a set of integers and the density of its sumset, product set and set of subset sums are presented.
Distribution of residues in approximate subgroups of
Norbert Hegyvári, Francois Hennecart
We extend a result due to Bourgain on the uniform distribution of residues by proving that subsets of the type is equidistributed (as tends to infinity) where …
A note on Freiman models in Heisenberg groups
Norbert Hegyvári, François Hennecart
Green and Ruzsa recently proved that for any , any small squaring set in a (multiplicative) abelian group, i.e. , has a Freiman -model: it means that…