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arXiv · 0708.1604

On determination of periods of geometric continued fractions for two-dimensional algebraic hyperbolic operators

O. Karpenkov
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Abstract

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 fraction in the sense of Klein. Further we experimentally study an algorithm to construct a period for an arbitrary operator of SL(2,z) (the Gauss Reduction Theory).

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O. Karpenkov. 2007-08-12. On determination of periods of geometric continued fractions for two-dimensional algebraic hyperbolic operators. https://arxiv.org/abs/0708.1604

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