The incongruence of consecutive values of polynomials
type: Item
instance of: scholarly article
title: The incongruence of consecutive values of polynomials
zbMATH Open document ID: 0893.11007
author: Pieter Moree
published in: Finite Fields and their Applications
publication date: 1998-04-26T00:00:00Z
review text: Suppose that \(f(x)\in \mathbb{Z}[x]\), \(k,n\in\mathbb{N}\) and let \[ D_f(n)= \min\bigl\{k>0: f(1),f(2), \dots, f(n)\text{ are pairwise incongruent modulo } k\bigr\}. \] The author provides a subset of \(\mathbb{Z}[x]\) that characterizes \(D_f(n)\) for sufficiently large \(n\).
Mathematics Subject Classification ID: 11C08
Mathematics Subject Classification ID: 11T06
Mathematics Subject Classification ID: 12E05
zbMATH DE Number: 1144291
zbMATH Keywords: incongruence of consecutive values of polynomials
zbMATH Keywords: integral polynomial
reviewed by: Richard A. Mollin
MaRDI profile type: Publication
full work available at URL: ffta.1996.0020
OpenAlex ID: W1975272589
DOI: 10.1006/FFTA.1996.0020
description: scientific article; zbMATH DE number 1144291