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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2022, Volume 506, Pages 73–82
DOI: https://doi.org/10.31857/S2686954322050174 (Mi danma302) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

Proper symmetries of 3-dimensional continued fractions

I. A. Tlyustangelovab

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Moscow Center for Fundamental and Applied Mathematics
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DOI: https://doi.org/10.31857/S2686954322050174
Abstract: In this work we prove a criterion for an algebraic continued fraction to have a proper palindromic symmetry in dimension 4. As a multidimensional generalization of continued fractions, we consider Klein polyhedra.
Keywords: Klein polyhedra, algebraic lattices.
Funding agency Grant number
Russian Science Foundation 22-21-00079
This work was supported by the Russian Science Foundation, grant no. 22-21-00079.
Presented: A. L. Semenov
Received: 31.05.2022
Revised: 19.07.2022
Accepted: 21.07.2022
English version:
Doklady Mathematics, 2022, Volume 106, Issue 2, Pages 366–374
DOI: https://doi.org/10.1134/S1064562422050192
Bibliographic databases:
Document Type: Article
UDC: 511.48
Language: Russian
Citation: I. A. Tlyustangelov, “Proper symmetries of 3-dimensional continued fractions”, Dokl. RAN. Math. Inf. Proc. Upr., 506 (2022), 73–82; Dokl. Math., 106:2 (2022), 366–374
Citation in format AMSBIB
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\paper Proper symmetries of 3-dimensional continued fractions
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\transl
\jour Dokl. Math.
\yr 2022
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\pages 366--374
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