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

Oleg Karpenkov
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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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Oleg Karpenkov. 2006-01-20. Three examples of three-dimensional continued fractions in the sense of Klein. https://arxiv.org/abs/math/0601493

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