Formulas for Diophantine quintuples containing two pairs of conjugates in some quadratic fields

DOI10.1007/s10998-021-00436-4OpenAlexW3093886242WikidataQ113900769 ScholiaQ113900769MaRDI QIDQ2678432

Zrinka Franušić, Vinko Petričević, Andrej Dujella

Publication date: 23 January 2023

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-021-00436-4

zbMATH Keywords

quadratic fieldsDiophantine quintuplesregular Diophantine quadruples

Mathematics Subject Classification ID

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

Related Items (1)

Diophantine quintuples containing two pairs of conjugates in some quadratic fields

Cites Work

• Extension of a parametric family of Diophantine triples in Gaussian integers
• On the extensions of the Diophantine triples in Gaussian integers
• What is a Diophantine $m$-tuple?
• On the extensibility of Diophantine triples {k-1, k+1, 4k} for Gaussian integers
• There Are Infinitely Many Rational Diophantine Sextuples
• There is no Diophantine quintuple
• On the size of Diophantine m-tuples in imaginary quadratic number rings
• Diophantine triples and construction of high-rank elliptic curves over \(\mathbb{Q}\) with three nontrivial 2-torsion points

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