The Pell Equation X2 - Dy2 = ± k2

Amara Chandoul

doi:10.4236/apm.2011.12005

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Advances in Pure Mathematics > Vol.1 No.2, March 2011

The Pell Equation X² - Dy² = ± k² ()

Amara Chandoul

DOI: 10.4236/apm.2011.12005 PDF HTML 6,028 Downloads 15,825 Views Citations

Abstract

Let D≠1 be a positive non-square integer and k≥2 be any fixed integer. Extending the work of A. Tek-can, here we obtain some formulas for the integer solutions of the Pell equation X² - Dy² = ± k² .

Keywords

Pell’s Equation, Solutions of Pell’s Equation

Share and Cite:

A. Chandoul, "The Pell Equation X² - Dy² = ± k²," Advances in Pure Mathematics, Vol. 1 No. 2, 2011, pp. 16-22. doi: 10.4236/apm.2011.12005.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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