Another generalization of a theorem of Baker and Davenport

DOI10.1016/j.jnt.2017.07.003zbMath1430.11043arXiv1510.05579OpenAlexW2963962495MaRDI QIDQ2406376

Bo He, Shi-Chun Yang, Ákos Pintér, Alain S. Togbé

Publication date: 27 September 2017

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

Full work available at URL: https://arxiv.org/abs/1510.05579

zbMATH Keywords

linear forms in logarithmsPell equationDiophantine \(m\)-tuple

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 (5)

The problem of the extension of D(4)-triple {1, b, c} ⋮ The number of irregular Diophantine quadruples for a fixed Diophantine pair or triple ⋮ Uniqueness conjecture on simultaneous Pell equations ⋮ There is no Diophantine quintuple ⋮ On the Diophantine pair \(\{a,3a\}\)

Cites Work

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• An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
• Linear forms in two logarithms and interpolation determinants II
• There are only finitely many Diophantine quintuples
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²

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