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

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

2007-08-12

arxiv.org/abs/0708.1604v1

Mathematics

Number Theory

Scientific paper

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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