English

Three examples of three-dimensional continued fractions in the sense of Klein

Number Theory 2007-10-22 v1 Combinatorics

Abstract

The problem of investigation of the simplest n-dimensional continued fraction in the sense of Klein for n>2 was posed by V.Arnold. The answer for the case of n=2 can be found in the works of E.Korkina and G.Lachaud. In present work we study the case of n=3.

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Cite

@article{arxiv.math/0601493,
  title  = {Three examples of three-dimensional continued fractions in the sense of Klein},
  author = {Oleg Karpenkov},
  journal= {arXiv preprint arXiv:math/0601493},
  year   = {2007}
}