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Additive properties of product sets in fields of prime order

A. A. Glibichuk·S. V. Konyagin
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Abstract

Let $F_p$ be the field of a prime order $p$. Then for any positive integer $n>1$, for any $ε>0$, and for any subset $A$ of $F_p$, every element of $F_p$ can be represented as a sum of $N$ elements, each of them is a product of $n$ elements from $A$, where $N$ depends on $n$ and $\espilon$.

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A. A. Glibichuk, S. V. Konyagin. 2007-02-24. Additive properties of product sets in fields of prime order. https://arxiv.org/abs/math/0702729

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