# Bounds On Exponential Sums With Quadrinomials

## TL;DR

This paper improves bounds on exponential sums involving quadrinomials over finite fields, particularly focusing on sums over multiplicative subgroups, advancing the understanding of exponential sum estimates.

## Contribution

The paper introduces a new bound on exponential sums with quadrinomials by refining existing results on exponential quadrilinear sums over multiplicative subgroups.

## Key findings

- Enhanced bounds on exponential sums with quadrinomials
- Improved estimates for sums over multiplicative subgroups
- Advancement in exponential sum analysis techniques

## Abstract

We improve an existing result on exponential quadrilinear sums in the case of sums over multiplicative subgroups of a finite field and use it to give a new bound on exponential sums with quadrinomials.