Difference between powers and squares of integers

DOI10.1006/jnth.1998.2303zbMath0923.11055OpenAlexW1969629621MaRDI QIDQ1277193

Jean-Luc Lesage

Publication date: 31 October 1999

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

Full work available at URL: https://doi.org/10.1006/jnth.1998.2303

zbMATH Keywords

linear forms in logarithmshigher degree equationsexponential diophantine equationsThue equation approach

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61) Higher degree equations; Fermat's equation (11D41) Linear forms in logarithms; Baker's method (11J86)

Related Items (1)

On Lebesgue–Ramanujan–Nagell Type Equations

Uses Software

• PARI/GP

Cites Work

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• Solving exponential diophantine equations using lattice basis reduction algorithms
• On the practical solution of the Thue equation
• Solving Thue equations of high degree
• Effective lower bound for the \(p\)-adic distance between powers of algebraic numbers
• Linear forms in two logarithms and interpolation determinants
• On the Diophantine equation \(Cx^ 2 +D = y^ n\)
• Logarithmic forms and group varieties.
• The diophantine equation x² + C = yⁿ
• On the diophantine equation y²-k=x³
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²

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