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arXiv · 1903.10070

Double Sums of Kloosterman Sums in Finite Fields

Simon Macourt·Igor E. Shparlinski
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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 \subseteq {\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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Simon Macourt, Igor E. Shparlinski. 2019-03-24. Double Sums of Kloosterman Sums in Finite Fields. https://arxiv.org/abs/1903.10070

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