The Pell Equation X2 - Dy2 = ± k2 - Advances in Pure Mathematics

APM > Vol.1 No.2, March 2011

Advances in Pure Mathematics

Volume 1, Issue 2 (March 2011)

ISSN Print: 2160-0368 ISSN Online: 2160-0384

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The Pell Equation X² - Dy² = ± k² ()

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DOI: 10.4236/apm.2011.12005 6,730 Downloads 17,494 Views Citations

Author(s)

Amara Chandoul

Affiliation(s)

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.

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