On the coefficients of ternary cyclotomic polynomials
type: Item
instance of: scholarly article
title: On the coefficients of ternary cyclotomic polynomials
zbMATH Open document ID: 1023.11010
DOI: 10.1016/S0022-314X(02)00119-1
author: Gennady Bachman
published in: Journal of Number Theory
publication date: 2003-06-25T00:00:00Z
review text: By ingenious estimations the author finds bounds for the size of the coefficients \(a_m\) of the ternary cyclotomic polynomials \(\Phi_{pqr}\), \(p\), \(q\), \(r\) primes, \(p< q< r\). E.g., \(|a_m|< (p-1)/2+a\), where \(a= \min (q^*,r^*,p-q^*,p-r^*)\) with \(0< q^*,r^*< p\) the inverses of \(q\) and \(r\bmod p\), respectively. Evaluating this in three corollaries, he immediately can derive all previously known estimations. Further amazing theorems are announced.
Mathematics Subject Classification ID: 11C08
Mathematics Subject Classification ID: 11B83
Mathematics Subject Classification ID: 11N56
zbMATH DE Number: 1934759
reviewed by: Bernd Richter
MaRDI profile type: Publication
cites work: Q3338321
cites work: Magnitude of the coefficients of the cyclotomic polynomial \(F_{pqr}\). II
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cites work: On the Cyclotomic Polynomial $Phi\{pq} (X)$
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description: scientific article; zbMATH DE number 1934759