Double Sums of Kloosterman Sums in Finite Fields

2019/03/24 by Macourt, Simon, Shparlinski, Igor E.
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1903.10070

Abstract

We bound double sums of Kloosterman sums over a finite field \mathbb F_q, with one or both parameters ranging over an affine space over its prime subfield \mathbb F_p ⊆ \mathbb F_q . These are finite fields analogues of a series of recent results by various authors in finite fields and residue rings. Our results are based on recent advances in additive combinatorics in arbitrary finite field.

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