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A Gauss-Kuzmin Theorem for Continued Fractions Associated with Nonpositive Integer Powers of an Integer m ≥ 2
We consider a family {τ (m) : m ≥ 2} of interval maps which are generalizations of the Gauss transformation. For the continued fraction expansion arising from τ (m), we solve a Gauss-Kuzmin-type problem.
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
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Hindawi Publishing Corporation
2014
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| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3953395/ https://www.ncbi.nlm.nih.gov/pubmed/24707226 http://dx.doi.org/10.1155/2014/984650 |
| Sumario: | We consider a family {τ (m) : m ≥ 2} of interval maps which are generalizations of the Gauss transformation. For the continued fraction expansion arising from τ (m), we solve a Gauss-Kuzmin-type problem. |
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