On a problem of Diophantus for rationals

DOI10.1016/J.JNT.2012.04.004zbMath1293.11052OpenAlexW2063412825WikidataQ57595860 ScholiaQ57595860MaRDI QIDQ448200

Clemens Fuchs, Andrej Dujella

Publication date: 30 August 2012

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2012.04.004

zbMATH Keywords

elliptic curvesDiophantine \(m\)-tuplesranktwistsparity conjecturelinear polynomials

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Elliptic curves over global fields (11G05) Polynomials in number theory (11C08)

Related Items (3)

Strong rational Diophantine \(D(q)\)-triples ⋮ Rational \(D(q)\)-quintuples ⋮ Rational \(D(q)\)-quadruples

Cites Work

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• COMPLETE SOLUTION OF A PROBLEM OF DIOPHANTUS AND EULER
• The Square-Free Sieve and the Rank of Elliptic Curves
• Some rational Diophantine sextuples
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²

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