Diophantine quintuples containing two pairs of conjugates in some quadratic fields

DOI10.21857/y26kecl809OpenAlexW4312457962MaRDI QIDQ5041975

Zrinka Franušić

Publication date: 18 October 2022

Published in: Rad Hrvatske akademije znanosti i umjetnosti Matematičke znanosti (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21857/y26kecl809

zbMATH Keywords

quadratic fieldsDiophantine quintuplesregular Diophantine quadruples

Mathematics Subject Classification ID

Quadratic extensions (11R11) Quadratic and bilinear Diophantine equations (11D09)

Cites Work

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• On the extensions of the Diophantine triples in Gaussian integers
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• There Are Infinitely Many Rational Diophantine Sextuples
• There is no Diophantine quintuple
• On the size of Diophantine m-tuples in imaginary quadratic number rings
• Some rational Diophantine sextuples
• Diophantine triples and construction of high-rank elliptic curves over \(\mathbb{Q}\) with three nontrivial 2-torsion points

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