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arxiv: 1705.02921 · v2 · pith:HGUWDETPnew · submitted 2017-05-08 · 🧮 math.DS

A Generalization of Gauss-Kuzmin-L\'evy Theorem

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keywords theoremgauss-kuzmin-lgeneralizedadditionappearsconstantestimatefrac
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We prove a generalized Gauss-Kuzmin-L\'evy theorem for the $p$-numerated generalized Gauss transformation $$T_p(x)=\{\frac{p}{x}\}.$$ In addition, we give an estimate for the constant that appears in the theorem.

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