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math.NT2007★ 2 cited
On determination of periods of geometric continued fractions for two-dimensional algebraic hyperbolic operators
O. Karpenkov
For a given sequence of positive integers we make an explicit construction of a reduced hyperbolic operator in SL(2,z) with the sequence as a period of a geometric continued fracti…
math.NT2004★ 4 cited
On examples of two-dimensional periodic continued fractions
O. N. Karpenkov
This paper is a short survey of the recent results on examples of periodic two-dimensional continued fractions (in Klein's model). In the last part of this paper we formulate some…