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

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

2006-01-20

arxiv.org/abs/math/0601493v1

C. R. Acad. Sci. Paris, Ser.I 343, pp.5-7, 2006

Mathematics

Number Theory

Scientific paper

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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