On the extensibility of \(D(-1)\)-pairs containing Fermat primes

DOI10.1007/S10474-019-00951-4zbMath1449.11053OpenAlexW2954594834MaRDI QIDQ2330059

Bokun M. Jukić, Ivan Soldo

Publication date: 18 October 2019

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-019-00951-4

zbMATH Keywords

quadratic fieldDiophantine quadruplelinear form in logarithmsimultaneous Pellian equation

Mathematics Subject Classification ID

Quadratic extensions (11R11) Quadratic and bilinear Diophantine equations (11D09) Linear forms in logarithms; Baker's method (11J86)

Related Items (2)

On \(D(-1)\)-triples \(\{1,4p^2+1,1-p\}\) in the ring \(\mathbb{Z}[\sqrt{-p}\) with a prime \(p\)] ⋮ Pellian equations of special type

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