The Unreasonable Effectualness of Continued Function Expansions
| dc.creator | Martin, Greg | |
| dc.date | 2002-06-17 | |
| dc.date.accessioned | 2026-07-07T04:49:10Z | |
| dc.date.available | 2026-07-07T04:49:10Z | |
| dc.description | Many generalizations of continued fractions, where the reciprocal function has been replaced by a more general function, have been studied, and it is often asked whether such generalized expansions can have nice properties. For instance, we might ask that algebraic numbers of a given degree have periodic expansions, just as quadratic irrationals have periodic continued fractions; or we might ask that familiar transcendental constants such as $e$ or $π$ have periodic or terminating expansions. In this paper, we show that there exist such generalized continued function expansions with essentially any desired behavior. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/math/0206166 | |
| dc.identifier | http://arxiv.org/abs/math/0206166 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64320 | |
| dc.subject | Number Theory | |
| dc.subject | 11J70 (40A15) | |
| dc.title | The Unreasonable Effectualness of Continued Function Expansions | |
| dc.type | text |