Email this article Proper cyclic symmetries of multidimensional continued fractions
- Authors: Tlyustangelov I.A.1,2
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Affiliations:
- Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
- Moscow Center for Fundamental and Applied Mathematics
- Issue: Vol 213, No 9 (2022)
- Pages: 138-166
- Section: Articles
- URL: https://journals.rcsi.science/0368-8666/article/view/133469
- DOI: https://doi.org/10.4213/sm9690
- ID: 133469
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Abstract
We show that palindromic continued fractions exist in an arbitrary dimension. For dimension $n=4$ we also prove a criterion for an algebraic continued fraction to have a proper cyclic palindromic symmetry. Klein polyhedra are considered as multidimensional generalizations of continued fractions. Bibliography: 11 titles.
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About the authors
Ibragim Aslanovich Tlyustangelov
Lomonosov Moscow State University, Faculty of Mechanics and Mathematics; Moscow Center for Fundamental and Applied Mathematics
Email: ibragim-tls@yandex.ru
Candidate of physico-mathematical sciences, no status
References
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