1 citations · 1 across the 4 of their papers we have counts for
4 papers
On two-point configurations in random set
Hoi Nguyen
We show that with high probability a random set of size of contains two elements and , where is a positive integer. As a consequence, we…
Squares in sumsets
Hoi Nguyen, Van Vu
A finite set of integers is square-sum-free if there is no subset of sums up to a square. In 1986, Erd\H os posed the problem of determining the largest cardinality of a sq…
Classification theorems for sumsets modulo a prime
Hoi Nguyen, Van Vu
Let be the finite field of prime order and be a subsequence of . We prove several classification results about the following questions: (1) When can one repr…
Subset sums in $\BZ_p$
H. H. Nguyen, E. Szemeredi, V. H. Vu
Let $\BZ_p$ be the finite field of prime order and be a subset of $\BZ_p$. We prove several sharp results about the following two basic questions: (1) When can one represen…