More on Diophantine Sextuples

DOI10.1007/978-3-319-55357-3_11zbMath1414.11042arXiv1609.06986OpenAlexW2524222517MaRDI QIDQ4581327

Matija Kazalicki, Andrej Dujella

Publication date: 17 August 2018

Published in: Number Theory – Diophantine Problems, Uniform Distribution and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.06986

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Elliptic curves over global fields (11G05) Computer solution of Diophantine equations (11Y50)

Related Items

Strong rational Diophantine \(D(q)\)-triples, Diophantine \(m\)-tuples in finite fields and modular forms, \(D(n)\)-quintuples with square elements, Rational \(D(q)\)-quintuples, Doubly regular Diophantine quadruples, Diophantine quadruples with the properties \(D(n_1)\) and \(D(n_2)\), Rational Diophantine sextuples with square denominators, Rational \(D(q)\)-quadruples, High rank elliptic curves induced by rational Diophantine triples, On elliptic curves induced by rational Diophantine quadruples, Diophantine triples and \(K3\) surfaces

Cites Work

• Injectivity of the specialization homomorphism of elliptic curves
• Diophantine \(m\)-tuples and elliptic curves
• On Diophantine quintuples
• There are only finitely many Diophantine quintuples
• There Are Infinitely Many Rational Diophantine Sextuples
• Some rational Diophantine sextuples