The D(1)-extensions of D(-1)-triples {1,2,c} and integer points on the attached elliptic curves

DOI10.4064/aa128-4-4zbMath1152.11013OpenAlexW1986671489MaRDI QIDQ5310170

Yasutsugu Fujita

Publication date: 20 September 2007

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa128-4-4

zbMATH Keywords

elliptic curvesDiophantine equationsPell's equationsDiophantine \(m\)-tuple

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Elliptic curves over global fields (11G05) Computer solution of Diophantine equations (11Y50) Recurrences (11B37) Linear forms in logarithms; Baker's method (11J86) Approximation to algebraic numbers (11J68)

Related Items (3)

On the \(D(- 1)\)-triple \(\{ 1,k^{2}+1,k^{2}+2k+2\}\) and its unique \(D(1)\)-extension ⋮ Compact representation of quadratic integers and integer points on some elliptic curves ⋮ There is no Diophantine D(−1)$D(-1)$‐quadruple

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