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math.NT2009
On a question of Sárközy on gaps of product sequences
Javier Cilleruelo, Thai Hoang Le
Motivated by a question of Sárközy, we study the gaps in the product sequence $\B=\A ... \A=\{b_n=a_ia_j, a_i,a_j\in \A\}$ when $\A$ has upper Banach density . We prove that t…
math.NT2009
Intersective polynomials and the primes
Thai Hoang Le
Intersective polynomials are polynomials in having roots every modulus. For example, and are intersective polynomials, but is not…
math.NT2009
Green-Tao theorem in function fields
Thai Hoang Le
We adapt the proof of the Green-Tao theorem on arithmetic progressions in primes to the setting of polynomials over a finite field, to show that for every , the irreducible poly…