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THE NON-EXTENDIBILITY OF SOME PARAMETRIC FAMILIES OF D(-1)-TRIPLES

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Publication:2907037
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DOI10.1093/qmath/har013zbMath1255.11015OpenAlexW1964036914MaRDI QIDQ2907037

Maurice Mignotte, Alan Filipin, Yasutsugu Fujita

Publication date: 5 September 2012

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/har013


zbMATH Keywords

Baker-Davenport lemmalinear forms in logarithms of algebraic numbers\(D(-1)\)-setssystems of generalized Pell equations


Mathematics Subject Classification ID

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


Related Items (5)

On \(D(-1)\)-triples \(\{1,4p^2+1,1-p\}\) in the ring \(\mathbb{Z}[\sqrt{-p}\) with a prime \(p\)] ⋮ A note on Dujella's unicity conjecture ⋮ A Pellian equation with primes and applications to \(D(-1)\)-quadruples ⋮ Pellian equations of special type ⋮ Linear Forms in Logarithms






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