\(D(n)\)-quintuples with square elements

DOI10.1007/s13398-021-01115-2zbMath1483.11053arXiv2011.01684OpenAlexW3193377125MaRDI QIDQ1982632

Andrej Dujella, Matija Kazalicki, Vinko Petričević

Publication date: 14 September 2021

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.01684

zbMATH Keywords

Riemann-Hurwitz formularational Diophantine quadruples

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Elliptic curves over global fields (11G05)

Related Items (4)

Divisibility by 2 on quartic models of elliptic curves and rational Diophantine \(D(q)\)-quintuples ⋮ High-rank elliptic curves with given torsion group and some applications ⋮ Rational \(D(q)\)-quintuples ⋮ Diophantine triples with the property \(D(n)\) for distinct \(n\)'s

Uses Software

• MathOverflow

Cites Work

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• Rational Diophantine sextuples with square denominators
• What is a Diophantine $m$-tuple?
• Generalization of a problem of Diophantus
• On Diophantine quintuples
• There are only finitely many Diophantine quintuples
• More on Diophantine Sextuples
• There Are Infinitely Many Rational Diophantine Sextuples
• There is no Diophantine quintuple
• Diagonal genus 5 curves, elliptic curves over $\mathbb {Q}(t)$, and rational diophantine quintuples
• Some rational Diophantine sextuples
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²

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