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Journals / Turkish Journal of Mathematics / 2022 / Cilt: 46 - Sayı: 3

Composition laws on the Fricke surface and Markov triples

Esra Ünal YILMAZ
Abdurrahman Muhammed ULUDAĞ
Pages
785–799
Publication Date
2022-11-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

This latter surface admits the squares of Markov triples as its solutions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We determine some composition laws related to the Fricke surface and the “double” Fricke surface.
📊
Key Findings & Data:We determine some composition laws related to the Fricke surface and the “double” Fricke surface.
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Conclusion & Impact:This latter surface admits the squares of Markov triples as its solutions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

We determine some composition laws related to the Fricke surface and the “double” Fricke surface. This latter surface admits the squares of Markov triples as its solutions.

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Cite This Article

YILMAZ, E. Ü., ULUDAĞ, A. M. (2022). Composition laws on the Fricke surface and Markov triples. Turkish Journal of Mathematics, Cilt: 46 - Sayı: 3, 785–799. https://ajindex.com/articles/607290

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References (6)

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  3. Lemmermeyer F. Conics-A Poor Man’s Elliptic Curves, arXiv:math/0311306, 2003
  4. Manin, Yu I. Cubic forms: algebra, geometry, arithmetic, Elsevier, 1986
  5. Perrine S. Sommes de Dedekind et generalisations de l’equation diophantienne de Markoff, Journal of Number Theory, 1994; 2: 224-247, 2002 (in French)
  6. Perrine S., Sur la conjecture de Frobenius relative aux solutions de l’équation de Markoff (Première partie), 2014 (in French).