Modular hyperbolas and bilinear forms of Kloosterman sums
Number Theory
2019-05-02 v1 Combinatorics
Abstract
In this paper we study incidences for hyperbolas in 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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Cite
@article{arxiv.1905.00291,
title = {Modular hyperbolas and bilinear forms of Kloosterman sums},
author = {Ilya D. Shkredov},
journal= {arXiv preprint arXiv:1905.00291},
year = {2019}
}
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27 pages