Additive properties of product sets in fields of prime order

Details Additive properties of product sets in fields of prime order Additive properties of product sets in fields of prime order

2007-02-24

arxiv.org/abs/math/0702729v1

Mathematics

Number Theory

Scientific paper

Let $F_p$ be the field of a prime order $p$. Then for any positive integer
$n>1$, for any $\epsilon>0$, 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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