Determination of periods of geometric continued fractions for two-dimensional algebraic hyperbolic operators |
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Authors: | O N Karpenkov |
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Institution: | 1. Mathematical Institute, Leiden University, Leiden, The Netherlands
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Abstract: | An explicit construction of a reduced hyperbolic integer operator from the group SL(2, ?) such that one of the periods of the corresponding geometric continued fraction in the sense of Klein coincides with a given sequence of positive integers is presented. An algorithm determining periods for any operator in SL(2, ?) (which is based on Gauss’ reduction theory) is experimentally studied. |
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