An improved sum-product estimate for general finite fields
Oliver Roche-Newton
TL;DR
This paper enhances the sum-product estimate for subsets of finite fields with non-prime order, advancing understanding of their additive and multiplicative structures.
Contribution
It provides an improved sum-product estimate for general finite fields, extending previous results that were limited to prime order fields.
Findings
Stronger bounds on sum-product estimates in finite fields
Extension of previous prime field results to non-prime fields
Improved understanding of additive and multiplicative interactions
Abstract
This paper improves on a sum-product estimate obtained by Katz and Shen for subsets of a finite field whose order is not prime.
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Taxonomy
TopicsLimits and Structures in Graph Theory · Finite Group Theory Research · Coding theory and cryptography