Translator Disclaimer
December 2019 Decomposition of subsets of finite fields
Simon Macourt
Funct. Approx. Comment. Math. 61(2): 243-255 (December 2019). DOI: 10.7169/facm/1752

Abstract

We extend a bound of Roche-Newton, Shparlinski and Winterhof which says any subset of a finite field can be decomposed into two disjoint subset $\mathcal{U}$ and $\mathcal{V}$ of which the additive energy of $\mathcal{U}$ and $f(\mathcal{V})$ are small, for suitably chosen rational functions $f$. We extend the result by proving equivalent results over multiplicative energy and the additive and multiplicative energy hybrids.

Citation

Download Citation

Simon Macourt. "Decomposition of subsets of finite fields." Funct. Approx. Comment. Math. 61 (2) 243 - 255, December 2019. https://doi.org/10.7169/facm/1752

Information

Published: December 2019
First available in Project Euclid: 26 October 2019

zbMATH: 07149359
MathSciNet: MR4042393
Digital Object Identifier: 10.7169/facm/1752

Subjects:
Primary: 11B30
Secondary: 11T30

Rights: Copyright © 2019 Adam Mickiewicz University

JOURNAL ARTICLE
13 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.61 • No. 2 • December 2019
Back to Top