On the exponential sum—product problem |
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Authors: | Igor Shparlinski |
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Institution: | Department of Computing, Macquarie University, Sydney, NSW 2109, Australia |
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Abstract: | Let 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} |
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Keywords: | Sum-product problem Exponential function Exponential sums |
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