Trilinear forms with double Kloosterman sums

TL;DR

This paper derives bounds for trilinear forms involving double Kloosterman sums, demonstrating significant cancellations and advancing understanding of their behavior in analytic number theory.

Contribution

It provides new estimates for these sums, revealing nontrivial cancellations and contributing to the study of exponential sums in number theory.

Findings

Establishes bounds showing cancellations in double Kloosterman sums

Demonstrates the existence of nontrivial cancellations in these sums

Advances analytic techniques for estimating exponential sums

Abstract

We obtain several estimates for trilinear form with double Kloosterman sums. In particular, these bounds show the existence of nontrivial cancellations between such sums.