Rocky Mountain Journal of Mathematics

A Generalization of a Theorem of Cohn on the Equation $x^3-Ny^2=\pm1$

F. Luca and P.G. Walsh

Full-text: Open access

Article information

Source
Rocky Mountain J. Math. Volume 31, Number 2 (2001), 503-509.

Dates
First available in Project Euclid: 5 June 2007

Permanent link to this document
http://projecteuclid.org/euclid.rmjm/1181070209

Digital Object Identifier
doi:10.1216/rmjm/1020171571

Mathematical Reviews number (MathSciNet)
MR1840950

Zentralblatt MATH identifier
0989.11016

Subjects
Primary: 11D25: Cubic and quartic equations
Secondary: 11J86: Linear forms in logarithms; Baker's method

Citation

Luca, F.; Walsh, P.G. A Generalization of a Theorem of Cohn on the Equation $x^3-Ny^2=\pm1$. Rocky Mountain J. Math. 31 (2001), no. 2, 503--509. doi:10.1216/rmjm/1020171571. http://projecteuclid.org/euclid.rmjm/1181070209.


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References

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  • N. Tzanakis, Solving elliptic Diophantine equations by estimating linear forms in elliptic logarithms. The case of quartic equations, Acta Arith. 75 (1996), 165-190.
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  • --------, A note on a theorem of Ljunggren and the Diophantine equations $x^2-kxy^2+y^4=1,4$, Arch. Math. 73 (1999), 119-125.
  • --------, The Diophantine equation $X^2-db^2Y^4=1$, Acta Arith. 87 (1998), 179-188.