On nonexistence of \(D(n)\)-quadruples

DOI10.1515/ms-2024-0063MaRDI QIDQ6610420

Zrinka Franušić, Ana Jurasić

Publication date: 25 September 2024

Published in: Mathematica Slovaca (Search for Journal in Brave)

zbMATH Keywords

Diophantine equationsring of polynomialsdifference of two squares\(D(n)\)-quadruples

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Diophantine equations (11D99)

Cites Work

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• Diophantine quadruples in \(\mathbb {Z}[\sqrt {4k+3}\)]
• On \(k\)-triad sequences
• A polynomial variant of a problem of Diophantus and Euler
• On a conjecture of Franušić and Jadrijević: counter-examples
• Diophantine \(m\)-tuples for linear polynomials. II: Equal degrees
• On D(w)-quadruples in the rings of integers of certain pure number fields
• What is a Diophantine $m$-tuple?
• A diophantine problem in ℤ[1 + \documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} \(\sqrt d\) \end{document})/2]
• Diophantine m-tuples for quadratic polynomials
• Adjugates of Diophantine Quadruples
• Sets in Which xy + k is Always a Square
• Generalization of a problem of Diophantus
• D(n)-quadruples in the ring of integers of ℚ(√2, √3)
• There is no Diophantine D(−1)$D(-1)$‐quadruple

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