journal article
oaidoi:10.1016/S0019-3577(08)80006-7

On the exponential sum—product problem

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Publication date
30 June 2008
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Published by Elsevier B.V.
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    Abstract

    AbstractLet g be an element of order T over a finite field Fp of p elements, where p is a prime. We show that for a very wide class of sets A, B ∈ {1, . . . , T} at least one of the sets {gab:a∈A,b∈B}and{ga+gb:a∈A,b∈B} is large

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