Gorde:
| Egile Nagusiak: | , , |
|---|---|
| Formatua: | Preprint |
| Argitaratua: |
2020
|
| Gaiak: | |
| Sarrera elektronikoa: | https://arxiv.org/abs/2002.06310 |
| Etiketak: |
Etiketa erantsi
Etiketarik gabe, Izan zaitez lehena erregistro honi etiketa jartzen!
|
| _version_ | 1866911801666437120 |
|---|---|
| author | Kim, Dong Han Lee, Seul Bee Liao, Lingmin |
| author_facet | Kim, Dong Han Lee, Seul Bee Liao, Lingmin |
| contents | By using a jump transformation associated to the Romik map, we define a new continued fraction algorithm called odd-odd continued fraction, whose principal convergents are rational numbers of odd denominators and odd numerators. Among others, it is proved that all the best approximating rationals of odd denominators and odd numerators of an irrational number are given by the principal convergents of the odd-odd continued fraction algorithm and vice versa. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2002_06310 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Odd-odd continued fraction algorithm Kim, Dong Han Lee, Seul Bee Liao, Lingmin Dynamical Systems Number Theory 11J70, 37E05 By using a jump transformation associated to the Romik map, we define a new continued fraction algorithm called odd-odd continued fraction, whose principal convergents are rational numbers of odd denominators and odd numerators. Among others, it is proved that all the best approximating rationals of odd denominators and odd numerators of an irrational number are given by the principal convergents of the odd-odd continued fraction algorithm and vice versa. |
| title | Odd-odd continued fraction algorithm |
| topic | Dynamical Systems Number Theory 11J70, 37E05 |
| url | https://arxiv.org/abs/2002.06310 |