27 citations · 44 across the 8 of their papers we have counts for
15 papers
A Generalization of Sárközy's theorem in function fields
Pierre-Yves Bienvenu, Thái Hoàng Lê, Gauree Wathodkar
Sárközy's theorem says that if has positive upper asymptotic density, then there are distinct and such that $a_1-a_2 = n^…
Bohr sets in sumsets II: countable abelian groups
John T. Griesmer, Anh N. Le, Thái Hoàng Lê
We prove three results concerning the existence of Bohr sets in threefold sumsets. More precisely, letting be a countable discrete abelian group and be…
On additive bases in infinite abelian semigroups
Pierre-Yves Bienvenu, Benjamin Girard, Thái Hoàng Lê
Building on previous work by Lambert, Plagne and the third author, we study various aspects of the behavior of additive bases in infinite abelian groups and semigroups. We show tha…
Linear and quadratic uniformity of the Möbius function over
Pierre-Yves Bienvenu, Thái Hoàng Lê
We examine correlations of the Möbius function over with linear or quadratic phases, that is, averages of the form \begin{equation} \label{eq:average} \frac{1}{q^…
A bilinear Bogolyubov theorem
Pierre-Yves Bienvenu, Thái Hoàng Lê
The purpose of this note is to prove the existence of a remarkable structure in an iterated sumset derived from a set in a Cartesian square …
Additive bases in groups
Victor Lambert, Thái Hoàng Lê, Alain Plagne
In this paper, we study the problem of removing an element from an additive basis in a general abelian group. We introduce analogues of the classical functions , and (de…