The negative Pell equation and Pythagorean triples

DOI10.3792/pjaa.76.91zbMath0971.11013OpenAlexW1986273466WikidataQ114023237 ScholiaQ114023237MaRDI QIDQ1587886

Florian Luca, Marek Wójtowicz, Aleksander Grytczuk

Publication date: 28 February 2001

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.76.91

zbMATH Keywords

Pythagorean triplesPell equationfundamental unit

Mathematics Subject Classification ID

Units and factorization (11R27) Quadratic and bilinear Diophantine equations (11D09)

Related Items (1)

Integer points on the curve $Y^{2}=X^{3}\pm p^{k}X$

Cites Work

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• Some Density Results for Negative Pell Equations; an Application of Graph Theory
• On the Computational Complexity of Determining the Solvability or Unsolvability of the Equation X 2 - DY 2 = -1
• A Note on an Equation Related to the Pell Equation
• The Number of Real Quadratic Fields Having Units of Negative Norm
• Density computations for real quadratic units
• Die 2-Ringklassengruppe des quadratischen Zahlkörpers und die Theorie der Pellschen Gleichung

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