On a theorem of Serret on continued fractions
classification
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keywords
continuedfractionsgammaserrettheoremboundclassicalcoincide
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A classical theorem in continued fractions due to Serret shows that for any two irrational numbers x and y related by a transformation $\gamma$ in PGL(2,Z) there exist s and t for which the complete quotients x_s and y_t coincide. In this paper we give an upper bound in terms of $\gamma$ for the smallest indices s and t.
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