On Solving the Pell Equation with Right-Hand Side $$\pm2$$ Using Continued Fractions

The Pell equation with right-hand side $$\pm2$$ is considered and a connection is established between its solutions and the convergents of $$\sqrt D$$ , which is similar to the well-known statements about the solutions of the Pell equation with right-hand side $$\pm1$$ .

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Publication Details

Journal
Mathematical Notes
Published
2025-04-01
DOI
https://doi.org/10.1134/s0001434625030319
Primary Topic
Iterative Methods for Nonlinear Equations
Type
article
Field-Weighted Citation Impact
0.00
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On Solving the Pell Equation with Right-Hand Side $$\pm2$$ Using Continued Fractions

Марис Евгеньевич Чанга
Mathematical Notes
Iterative Methods for Nonlinear Equations
article

On Solving the Pell Equation with Right-Hand Side $$\pm2$$ Using Continued Fractions

Марис Евгеньевич Чанга
article en

Abstract

The Pell equation with right-hand side $$\pm2$$ is considered and a connection is established between its solutions and the convergents of $$\sqrt D$$ , which is similar to the well-known statements about the solutions of the Pell equation with right-hand side $$\pm1$$ .

Mathematical NotesVol. 117(3-4)
Moscow State University of Geodesy and Cartography (RU)
Openalex Percentile: Top 79%
Iterative Methods for Nonlinear Equations
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On Solving the Pell Equation with Right-Hand Side $\pm2$ Using Continued Fractions — Марис Евгеньевич Чанга · Mathematical Notes (2025) | TGRS Research Map | TGRS