On the size of the intersection of two Lucas sequences of distinct type. II

DOI10.1007/s11425-011-4242-5zbMath1252.11030OpenAlexW1972599478MaRDI QIDQ763640

Maurice Mignotte, Mihai Cipu, Alain S. Togbé

Publication date: 29 March 2012

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-011-4242-5

zbMATH Keywords

linear forms in logarithmsDiophantine equationexponential equation

Mathematics Subject Classification ID

Computer solution of Diophantine equations (11Y50) Continued fractions and generalizations (11J70) Exponential Diophantine equations (11D61)

Uses Software

• Magma

Cites Work

• Unnamed Item
• On the number of solutions to systems of Pell equations
• The Magma algebra system. I: The user language
• An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
• Sharp bounds for the number of solutions to simultaneous Pellian equations
• On some special forms of simultaneous Pell equations
• Simultaneous Pellian equations with a single or no solution
• Linear forms in two logarithms and interpolation determinants II
• A quantitative version of Runge's theorem on diophantine equations
• On the number of solutions of $x^2-4m(m+1)y^2=y^2-bz^2=1$
• Simultaneous Pell equations
• An average formula for the class number
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²