Determination of integer solutions of a system of simultaneous Pell equations

DOI10.1134/S0001434609090326zbMath1201.11037MaRDI QIDQ1048607

Aleksey Yu. Nesterenko

Publication date: 12 January 2010

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

quadratic Diophantine equationsimultaneous Pell equationsBaker-Davenport lemmacomputer computationlower bounds of linear forms in three logarithms

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Computer solution of Diophantine equations (11Y50) Linear forms in logarithms; Baker's method (11J86)

Related Items (1)

Infinitesimal and global rigidity and inflexibility of surfaces of revolution with flattening at the poles

Cites Work

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• An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
• Simultaneous Pellian equations
• A lower bound for linear forms in logarithms
• On a Method of Solving a Class of Diophantine Equations
• Simultaneous Pell equations
• Linear forms in the logarithms of algebraic numbers (IV)
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²

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