The Diophantine equation \(x^3+y^3=pqz^3\)
type: Item
instance of: scholarly article
title: The Diophantine equation \(x^3+y^3=pqz^3\)
zbMATH Open document ID: 1052.11021
published in: Moscow University Mathematics Bulletin
publication date: 2003-01-08T00:00:00Z
review text: The main result of the paper is as follows. Theorem: Let \(p\) and \(q\) be prime numbers, \(p\equiv 2\pmod 3\), \(q\equiv 1\pmod 3\), \(4q-p^2\not\equiv 3\pmod 9\). If \(p\) is not a cubic residue modulo \(q\), then the equation \(x^3+y^3= pqz^3\) has no solutions in nonzero integers \(x\), \(y\), \(z\).
Mathematics Subject Classification ID: 11D25
zbMATH DE Number: 1851280
zbMATH Keywords: cubic Diophantine equation
author: Kh. Hessami Pilehrood
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1851280