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The Pell Equation X<sup>2</sup> - Dy<sup>2</sup> = ± k<sup>2</sup>
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Advances in Pure Mathematics·Volume 01 (2011)·Pages 16–22·Published 30 March 2011·DOI10.4236/apm.2011.12005
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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 X<sup>2</sup> - Dy<sup>2</sup> = ± k<sup>2</sup> .
KeywordsPell’s EquationSolutions of Pell’s Equation
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