Multiplicative energy of polynomial images of intervals modulo \(q\)
type: Item
instance of: scholarly article
title: Multiplicative energy of polynomial images of intervals modulo \(q\)
zbMATH Open document ID: 1454.11153
DOI: 10.4171/RMI/1017
author: Kyle Castro
author: Mei-Chu Chang
published in: Revista Matemática Iberoamericana
publication date: 2018-10-26T00:00:00Z
review text: Summary: Given a smooth integer \(q\), we use existing upper bounds for character sums to find a lower bound for the size of a multiplicative subgroup of the integers modulo \(q\) which contains the image of an interval of consecutive integers \(I\subset\mathbb{Z}_q\) under a polynomial \(f\in\mathbb{Z}[X]\).
Mathematics Subject Classification ID: 11L40
Mathematics Subject Classification ID: 11L26
zbMATH DE Number: 6966785
zbMATH Keywords: character sums
zbMATH Keywords: polynomial images
zbMATH Keywords: subgroups of finite fields
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4171/rmi/1017
OpenAlex ID: W2888857981
description: scientific article; zbMATH DE number 6966785