Cargando…
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.
| Autor principal: | |
|---|---|
| Formato: | Online Artículo Texto |
| Lenguaje: | English |
| Publicado: |
Hindawi Publishing Corporation
2014
|
| Materias: | |
| 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 |
| _version_ | 1782307347219087360 |
|---|---|
| author | Lascu, Dan |
| author_facet | Lascu, Dan |
| author_sort | Lascu, Dan |
| collection | PubMed |
| description | 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. |
| format | Online Article Text |
| id | pubmed-3953395 |
| institution | National Center for Biotechnology Information |
| language | English |
| publishDate | 2014 |
| publisher | Hindawi Publishing Corporation |
| record_format | MEDLINE/PubMed |
| spelling | pubmed-39533952014-04-06 A Gauss-Kuzmin Theorem for Continued Fractions Associated with Nonpositive Integer Powers of an Integer m ≥ 2 Lascu, Dan ScientificWorldJournal Research Article 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. Hindawi Publishing Corporation 2014-02-23 /pmc/articles/PMC3953395/ /pubmed/24707226 http://dx.doi.org/10.1155/2014/984650 Text en Copyright © 2014 Dan Lascu. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
| spellingShingle | Research Article Lascu, Dan A Gauss-Kuzmin Theorem for Continued Fractions Associated with Nonpositive Integer Powers of an Integer m ≥ 2 |
| title | A Gauss-Kuzmin Theorem for Continued Fractions Associated with Nonpositive Integer Powers of an Integer m ≥ 2 |
| title_full | A Gauss-Kuzmin Theorem for Continued Fractions Associated with Nonpositive Integer Powers of an Integer m ≥ 2 |
| title_fullStr | A Gauss-Kuzmin Theorem for Continued Fractions Associated with Nonpositive Integer Powers of an Integer m ≥ 2 |
| title_full_unstemmed | A Gauss-Kuzmin Theorem for Continued Fractions Associated with Nonpositive Integer Powers of an Integer m ≥ 2 |
| title_short | A Gauss-Kuzmin Theorem for Continued Fractions Associated with Nonpositive Integer Powers of an Integer m ≥ 2 |
| title_sort | gauss-kuzmin theorem for continued fractions associated with nonpositive integer powers of an integer m ≥ 2 |
| topic | Research Article |
| url | 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 |
| work_keys_str_mv | AT lascudan agausskuzmintheoremforcontinuedfractionsassociatedwithnonpositiveintegerpowersofanintegerm2 AT lascudan gausskuzmintheoremforcontinuedfractionsassociatedwithnonpositiveintegerpowersofanintegerm2 |