Some sum-product type estimates for two-variables over prime fields

Phuc D Tran; Nguyen Van The

arXiv:1911.10308·math.CO·March 25, 2020·Discret. Appl. Math.

Some sum-product type estimates for two-variables over prime fields

Phuc D Tran, Nguyen Van The

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TL;DR

This paper improves sum-product estimates over prime fields by applying a recent method, advancing understanding of additive and multiplicative structures in finite fields.

Contribution

It introduces an improved approach to sum-product problems over prime fields, building on recent methods by Rudnev, Shakan, and Shkredov.

Findings

01

Enhanced sum-product estimates over prime fields

02

Application of new techniques to additive and multiplicative structures

03

Progress in finite field combinatorics

Abstract

In this paper, we use a recent method given by Rudnev, Shakan, and Shkredov (2018) to improve results on sum-product type problems due to Pham and Mojarrad (2018).

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