Diophantine exponents of lattices and the growth of higher-dimensional analogues of partial quotients
A three-dimensional analogue of the connection between the exponent of the irrationality of a real number and the growth of the partial quotients of its expansion in a simple continued fraction is investigated. As a multidimensional generalization of continued fractions, Klein polyhedra are consider...
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| Veröffentlicht in: | Sbornik. Mathematics 2023, Vol.214 (3), p.349-362 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | A three-dimensional analogue of the connection between the exponent of the irrationality of a real number and the growth of the partial quotients of its expansion in a simple continued fraction is investigated. As a multidimensional generalization of continued fractions, Klein polyhedra are considered.
Bibliography: 12 titles. |
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| ISSN: | 1064-5616 1468-4802 |
| DOI: | 10.4213/sm9746e |