H. Nguyen

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math.CO2008

Squares in sumsets

Hoi Nguyen, Van Vu

A finite set $A$ of integers is square-sum-free if there is no subset of $A$ sums up to a square. In 1986, Erd\H os posed the problem of determining the largest cardinality of a sq…

math.CO2008

Classification theorems for sumsets modulo a prime

Hoi Nguyen, Van Vu

Let $Z / pZ$ be the finite field of prime order $p$ and $A$ be a subsequence of $Z / pZ$ . We prove several classification results about the following questions: (1) When can one repr…