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On symmetries of 3-dimensional algebraic continued fractions

Number Theory 2022-12-12 v1

Abstract

In this paper we prove in detail a criterion for an algebraic continued fraction to have a proper palindromic symmetry in dimension 44. We also present a new proof of the criterion for an algebraic continued fraction to have a proper cyclic palindromic symmetry in dimension 44. As a multidimensional generalization of continued fractions, we consider Klein polyhedra.

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Cite

@article{arxiv.2212.04758,
  title  = {On symmetries of 3-dimensional algebraic continued fractions},
  author = {Ibragim A. Tlyustangelov},
  journal= {arXiv preprint arXiv:2212.04758},
  year   = {2022}
}

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