On the number of extensions of a Diophantine triple

DOI10.1142/S1793042118500549zbMath1429.11065OpenAlexW2754020112MaRDI QIDQ4609580

Mihai Cipu, Yasutsugu Fujita, Takafumi Miyazaki

Publication date: 4 April 2018

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042118500549

zbMATH Keywords

linear forms in logarithmsrecurrence sequencesDiophantine tuplessystem of Pellian equations

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 (10)

Extension of a Diophantine triple with the property \(D(4)\) ⋮ The number of irregular Diophantine quadruples for a fixed Diophantine pair or triple ⋮ The extension of the \(D(-k)\)-triple \(\{1,k,k+1\}\) to a quadruple ⋮ Extensions of a Diophantine triple by adjoining smaller elements ⋮ Coincidence between two binary recurrent sequences of polynomials arising from Diophantine triples ⋮ Diophantine triples with largest two elements in common ⋮ Diophantine pairs that induce certain Diophantine triples ⋮ Diophantine quadruples in \(\mathbb{Z}[i[X]\)] ⋮ An infinite two-parameter family of Diophantine triples ⋮ There are no Diophantine quadruples of Pell numbers

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