Markov's Theorem and its relationship to the Lagrange spectrum: El Teorema de Markov y su relación con el espectro de Lagrange
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| Egileak: | , |
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| Formatua: | artículo original |
| Egoera: | Versión publicada |
| Argitaratze data: | 2026 |
| Deskribapena: | Markov numbers, the equation, and Markov's Theorem are important topics in number theory and probability. The objective of this work is to seek a deeper understanding of Markov numbers, the Markov equation, and Markov's Theorem. Furthermore, it explains the relationship between Markov's Theorem and the Lagrange spectrum (a set of real numbers with a certain characteristic). For this reason, several concepts are explained in detail to aid in understanding these topics; namely: finite continued fractions, simple infinite continued fractions, the Diophantine equation, and the Lagrange spectrum. The aim is to provide those interested in these topics with a self-contained text and to introduce them to certain important topics in the area of algebra. |
| Herria: | Portal de Revistas TEC |
| Erakundea: | Instituto Tecnológico de Costa Rica |
| Repositorio: | Portal de Revistas TEC |
| Hizkuntza: | Español |
| OAI Identifier: | oai:ojs.pkp.sfu.ca:article/8714 |
| Sarrera elektronikoa: | https://revistas.tec.ac.cr/index.php/matematica/article/view/8714 |