A diophantine system
type: Item
instance of: scholarly article
title: A diophantine system
zbMATH Open document ID: 0593.10012
DOI: 10.1155/S0161171286000522
author: Andrew Bremner
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/46063
review text: Summary: It is shown how to find all integers \(a\), \(b\) such that \(a+b\), \(a^2+b^2\) and \(a^3+b^3\) are simultaneously perfect squares.
Mathematics Subject Classification ID: 11D25
Mathematics Subject Classification ID: 14H52
Mathematics Subject Classification ID: 14G05
zbMATH DE Number: 3952854
zbMATH Keywords: rational point
zbMATH Keywords: recurrence formula
zbMATH Keywords: integral solution
zbMATH Keywords: cubic diophantine equation
zbMATH Keywords: elliptic curve
zbMATH Keywords: perfect squares
MaRDI profile type: Publication
OpenAlex ID: W1979216863
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description: scientific article; zbMATH DE number 3952854