| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6415723 | Journal of Number Theory | 2011 | 21 Pages |
Abstract
We prove the existence of the Legendre constant of α-continued fractions for 0<α<12. Moreover, we give its upper and lower bounds. The proof is based on the coding between the α-continued fraction expansions and the regular continued fraction expansions.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Rie Natsui,