Dickson polynomial discriminators
type: Item
instance of: scholarly article
title: Dickson polynomial discriminators
zbMATH Open document ID: 0858.11057
author: Pieter Moree
author: Gary L. Mullen
published in: Journal of Number Theory
publication date: 1996-08-06T00:00:00Z
review text: The authors study the Dickson discriminator problem, that is the problem of determining the least \(k\in \mathbb{N}\) such that the Dickson polynomial has distinct output values for a predetermined \(n\in \mathbb{N}\) consecutive input values. The authors make a connection between this problem and permutation polynomials over the ring of integers modulo \(k\), a relationship ostensibly missed by other authors. They conclude the paper with some open problems ``designed to stimulate further work on Dickson discriminators''.
Mathematics Subject Classification ID: 11R09
Mathematics Subject Classification ID: 11T06
Mathematics Subject Classification ID: 11B83
zbMATH DE Number: 913832
zbMATH Keywords: Dickson polynomial discriminators
zbMATH Keywords: permutation polynomials over finite rings
reviewed by: Richard A. Mollin
MaRDI profile type: Publication
full work available at URL: jnth.1996.0089
OpenAlex ID: W2010505351
DOI: 10.1006/JNTH.1996.0089
description: scientific article; zbMATH DE number 913832