Solutions of the Pell equation x2-Dy2=+-N

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Published: Nov 8, 2022
DOI: https://doi.org/10.14456/past.2022.8
Keywords:
Pell equation Fundamental solution

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Aruntida Sichiangha
Department of Mathematics, Faculty of Science and Technology, Surindra Rajabhat University
Piyanut Puangjumpa
Department of Mathematics, Faculty of Science and Technology, Surindra Rajabhat University

Abstract

In this paper, we obtained some formulas for the integer solutions of the Pell equation gif.latex?x^{2}-Dy^{2}=&space;N  and the negative Pell equation gif.latex?x^{2}-Dy^{2}=&space;-N where gif.latex?D>1 is a non-square integer and gif.latex?N is a positive integer.

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How to Cite
1.
Sichiangha A, Puangjumpa P. Solutions of the Pell equation x2-Dy2=+-N. Prog Appl Sci Tech. [Internet]. 2022 Nov. 8 [cited 2024 May 18];12(3):7-14. Available from: https://ph02.tci-thaijo.org/index.php/past/article/view/247113
Issue
Vol. 12 No. 3 (2022): September - December 2022
Section
Mathematics and Applied Statistics
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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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