Non-extensibility of the pair $\{1, 3\}$ to a Diophantine quintuple in $\mathbb{Z}\left[\sqrt{-d}\right]$

zbMath1293.11053arXiv1312.5241MaRDI QIDQ2869648

Zrinka Franušić, Dijana Kreso

Publication date: 3 January 2014

Full work available at URL: https://arxiv.org/abs/1312.5241

zbMATH Keywords

number fieldDiophantine tupleDiophantine quintuple

Mathematics Subject Classification ID

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

Related Items (2)

\(D(-1)\)-triples of the form \(\{1,b,c\}\) in the ring \(\mathbb Z[\sqrt{-t}\), \(t>0\)] ⋮ A Pellian equation with primes and applications to \(D(-1)\)-quadruples

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