Modular hyperbolas and bilinear forms of Kloosterman sums

JOURNAL OF NUMBER THEORY

卷:220

Article

Shkredov, I. D.¹ 

[1] Steklov Math Inst, Ul Gubkina 8, Moscow 119991, Russia

关键词: Sum-product;    Modular hyperbolas;    Kloosterman sums;   

DOI  :  10.1016/j.jnt.2020.06.014

来源: Elsevier

【 摘 要 】

In this paper we study incidences for hyperbolas in finite field with p elements 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. (c) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free