On suborbital graphs and related continued fractions |
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| Authors: | Ali H De?er Murat Be?enk |
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| Institution: | a Karadeniz Technical University, Faculty of Science, Department of Mathematics, 61080 Trabzon, Turkey
b Rize University, Faculty of Arts and Science, Department of Mathematics, 53100 Rize, Turkey |
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| Abstract: | In this paper, we study suborbital graphs for congruence subgroup Γ0(n) of the modular group Γ to have hyperbolic paths of minimal lengths. It turns out that these graphs give rise to a special continued fraction which is a special case of very famous fraction coming out from Pringsheim’s theorem. |
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| Keywords: | Suborbital graphs Continued fractions Pringsheim&rsquo s theorem |
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