On equal sums of cubes
type: Item
instance of: scholarly article
title: On equal sums of cubes
zbMATH Open document ID: 0934.11011
author: Ajai Choudhry
published in: Rocky Mountain Journal of Mathematics
publication date: 1999-11-30T00:00:00Z
full work available at URL: CONT28-4.html
review text: The complete solution in positive or negative rationals of the diophantine equation (1) \(x^3+ y^3= u^3+ v^3\) was found by Euler [\textit{G. H. Hardy} and \textit{E. M. Wright}, An introduction to the theory of numbers, 5th ed., Oxford University Press, London 199-200 (1979; Zbl 0423.10001)]. In this paper the author gives a complete solution in positive or negative integers to (1) and to the related equation (2) \(x^3+ y^3+ z^3= t^3\) as well as a complete solution in positive integers only.
Mathematics Subject Classification ID: 11D25
zbMATH DE Number: 1309876
zbMATH Keywords: equal sums of cubes
zbMATH Keywords: cubic diophantine equation
reviewed by: Edward L. Cohen
MaRDI profile type: Publication
OpenAlex ID: W2035802594
cites work: Q3856819
cites work: Q3941473
DOI: 10.1216/RMJM/1181071714
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description: scientific article; zbMATH DE number 1309876