There is no Diophantine D(−1)$D(-1)$‐quadruple

DOI10.1112/jlms.12507arXiv2010.09200MaRDI QIDQ6133799

Maurice Mignotte, Mihai Cipu, Nicolae Ciprian Bonciocat

Publication date: 21 August 2023

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.09200

zbMATH Keywords

linear forms in logarithmsreduction methodsDiophantine tuplesquadruple conjecture

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Recurrences (11B37) Counting solutions of Diophantine equations (11D45) Linear forms in logarithms; Baker's method (11J86)

Related Items

k-Diophantine m-tuples in finite fields ⋮ On the number of Diophantine \(m\)-tuples in finite fields ⋮ On the length of D(±1)$D(\pm 1)$‐tuples in imaginary quadratic rings ⋮ \(D(4)\)-triples with two largest elements in common ⋮ On a conjecture of Franušić and Jadrijević: counter-examples ⋮ Diophantine triples with the property \(D(n)\) for distinct \(n\)'s ⋮ On the existence of \(D(-3)\)-quadruples over \(\mathbb{Z}\)

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