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arXiv · 1905.00291

Modular hyperbolas and bilinear forms of Kloosterman sums

Ilya D. Shkredov
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Abstract

In this paper we study incidences for hyperbolas in $\mathbf{F}_p$ and show how linear sum--product methods work for such curves. As an application we give a purely combinatorial proof of a nontrivial upper bound for bilinear forms of Kloosterman sums.

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Ilya D. Shkredov. 2019-05-01. Modular hyperbolas and bilinear forms of Kloosterman sums. https://arxiv.org/abs/1905.00291

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