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Partial quotients of continued fractions and beta-expansions
Abstract
For each real number, we obtain an asymptotic for the number of partial quotients in the continued fraction expansion that can be obtained from the first n terms of its β-expansion. A novelty of our approach is the use of methods of the theory of dynamical systems. © 2008 IOP Publishing Ltd and London Mathematical Society.
Más información
| Título según WOS: | Partial quotients of continued fractions and beta-expansions |
| Título según SCOPUS: | Partial quotients of continued fractions and ß-expansions |
| Título de la Revista: | NONLINEARITY |
| Volumen: | 21 |
| Número: | 10 |
| Editorial: | IOP PUBLISHING LTD |
| Fecha de publicación: | 2008 |
| Página de inicio: | 2211 |
| Página final: | 2219 |
| Idioma: | English |
| URL: | http://stacks.iop.org/0951-7715/21/i=10/a=001?key=crossref.e47a1e50be45496dbd718ab60da41fb3 |
| DOI: |
10.1088/0951-7715/21/10/001 |
| Notas: | ISI, SCOPUS |