A property of primitive prime divisors of \(\Phi_ d (a)\)
type: Item
instance of: scholarly article
title: A property of primitive prime divisors of \(\Phi_ d (a)\)
zbMATH Open document ID: 0844.11022
DOI: 10.1007/BF01202065
author: Andreas Bartholomé
published in: Archiv der Mathematik
publication date: 1996-09-01T00:00:00Z
review text: Let \(d\geq 1\) and \(a\geq 2\). The author characterizes the numbers \(n\in \mathbb{N}\) which divide \(\Phi_d (a^n)\), where \(\Phi_d\) denotes a cyclotomic polynomial. If \((a, d)\neq (2,1)\), then there exist infinitely many \(n\) with this property.
Mathematics Subject Classification ID: 11C08
Mathematics Subject Classification ID: 11A51
zbMATH DE Number: 734490
zbMATH Keywords: primitive prime divisors
zbMATH Keywords: cyclotomic polynomial
reviewed by: Theo Grundhöfer
MaRDI profile type: Publication
cites work: Q5804241
full work available at URL: https://doi.org/10.1007/bf01202065
OpenAlex ID: W2124933674
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description: scientific article; zbMATH DE number 734490