Thái Hoàng Lê
University of Texas at Austin
Network
Latest external collaboration on country level. Dive into details by clicking on the dots.
Publication
Featured researches published by Thái Hoàng Lê.
Archive | 2014
Thái Hoàng Lê
By intersective set we mean a set H ⊂ Z having the property that it intersects the difference set A − A of any dense subset A of the integers. By analogy between the integers and the ring of polynomials over a finite field, the notion of intersective sets also makes sense in the latter setting. We give a survey of methods used to study intersective sets, known results and open problems in both settings.
Finite Fields and Their Applications | 2015
Abhishek Bhowmick; Thái Hoàng Lê
We discuss the problem of constructing a small subset of a finite field containing primitive elements of the field. Given a finite field,
International Mathematics Research Notices | 2014
Thái Hoàng Lê; Julia Wolf
\mathbb{F}_{q^n}
Journal of The London Mathematical Society-second Series | 2013
Michael Kelly; Thái Hoàng Lê
, small
Finite Fields and Their Applications | 2017
Abhishek Bhowmick; Thái Hoàng Lê; Yu-Ru Liu
q
Israel Journal of Mathematics | 2017
Victor Lambert; Thái Hoàng Lê; Alain Plagne
and large
conference on innovations in theoretical computer science | 2015
Abhishek Bhowmick; Ariel Gabizon; Thái Hoàng Lê; David Zuckerman
n
Journal of Number Theory | 2010
Thái Hoàng Lê
, we show that the set of all low degree polynomials contains the expected number of primitive elements. The main theorem we prove is a bound for character sums over short intervals in function fields. Our result is unconditional and slightly better than what is known (conditionally under GRH) in the integer case and might be of independent interest.
Acta Arithmetica | 2011
Thái Hoàng Lê
The Bergelson-Leibman theorem states that if P_1, ..., P_k are polynomials with integer coefficients, then any subset of the integers of positive upper density contains a polynomial configuration x+P_1(m), ..., x+P_k(m), where x,m are integers. Various generalizations of this theorem are known. Wooley and Ziegler showed that the variable m can in fact be taken to be a prime minus 1, and Tao and Ziegler showed that the Bergelson-Leibman theorem holds for subsets of the primes of positive relative upper density. Here we prove a hybrid of the latter two results, namely that the step m in the Tao-Ziegler theorem can be restricted to the set of primes minus 1.
Proceedings of The London Mathematical Society | 2015
Thái Hoàng Lê; Jeffrey D. Vaaler
A theorem of Glasner says that if