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International Journal of Mathematics and Mathematical Sciences
Article . 1981 . Peer-reviewed
License: CC BY
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International Journal of Mathematics and Mathematical Sciences
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International Journal of Mathematics and Mathematical Sciences
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Positive solutions of the diophantine equation

Positive solutions of the Diophantine equation
descriptionPublicationkeyboard_double_arrow_right Article 23 Oct 1981 English Publisher:WileyJournal:International Journal of Mathematics and Mathematical Sciences, volume 5, pages 311-314 (issn: 0161-1712, eissn: 1687-0425, Copyright policy )
Authors: W. R. Utz;

doi: 10.1155/s0161171282000295

Positive solutions of the diophantine equation

Abstract

Integral solutions of x3 + λy + 1 − xyz = 0 are observed for all integral λ. For λ = 2 the 13 solutions of the equation in positive integers are determined. Solutions of the equation in positive integers were previously determined for the case λ = 1.

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Keywords

positive solution, cubic, QA1-939, Diophantine equation, positive solution., Cubic and quartic Diophantine equations, Mathematics, cubic Diophantine equation

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Top 10%
Average
gold