Diophantine quadruples in \(\mathbb {Z}[\sqrt {4k+3}]\)

DOI10.1007/s11139-007-9015-yzbMath1238.11035OpenAlexW2093599215MaRDI QIDQ539113

Zrinka Franušić

Publication date: 27 May 2011

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-007-9015-y

zbMATH Keywords

Diophantine quadruplesdifference of squaresPellian equations

Mathematics Subject Classification ID

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

Related Items (4)

k-Diophantine m-tuples in finite fields ⋮ Non-existence of certain Diophantine quadruples in rings of integers of pure cubic fields ⋮ On a conjecture of Franušić and Jadrijević: counter-examples ⋮ Diophantine triples with the property \(D(n)\) for distinct \(n\)'s

Cites Work

• On \(k\)-triad sequences
• Sets in Which xy + k is Always a Square
• Generalization of a problem of Diophantus
• Effective solution of the D(-1)-quadruple conjecture
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²
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