Article
| Title: | On the quasi-periodic $p$-adic Ruban continued fractions (English) |
| Author: | Ammous, Basma |
| Author: | Ben Mahmoud, Nour |
| Author: | Hbaib, Mohamed |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 72 |
| Issue: | 4 |
| Year: | 2022 |
| Pages: | 1157-1166 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | We study a family of quasi periodic $p$-adic Ruban continued fractions in the $p$-adic field $\mathbb {Q}_p$ and we give a criterion of a quadratic or transcendental $p$-adic number which based on the $p$-adic version of the subspace theorem due to Schlickewei. (English) |
| Keyword: | continued fraction |
| Keyword: | $p$-adic number |
| Keyword: | transcendence |
| Keyword: | subspace theorem |
| MSC: | 11A55 |
| MSC: | 11D88 |
| MSC: | 11J81 |
| idZBL: | Zbl 07655790 |
| idMR: | MR4517603 |
| DOI: | 10.21136/CMJ.2022.0409-21 |
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| Date available: | 2022-11-28T11:41:37Z |
| Last updated: | 2023-04-11 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/151137 |
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| Reference: | [11] Ruban, A. A.: Some metric properties of $p$-adic numbers.Sib. Math. J. 11 (1970), 176-180. Zbl 0213.32701, MR 0260700, 10.1007/BF00970247 |
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