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| Content Provider | Springer Nature Link |
|---|---|
| Author | Esbelin, Henri Alex Belhadef, Rafik Zerzaihi, Tahar |
| Copyright Year | 2015 |
| Abstract | It has been proved that real numbers defined as a limit of continued fractions with a Thue–Morse sequence as the sequence of positive integer partial quotients are transcendental. The same holds for more general sequences of partial quotients. Moreover, transcendence results have been proved for p-adic numbers defined by Hensel development. Here, we tackle the transcendence question in case of p-adic numbers defined as a limit of continued fractions by proving a similar result as the first one. |
| Ending Page | 1434 |
| Page Count | 6 |
| Starting Page | 1429 |
| File Format | |
| ISSN | 16605446 |
| e-ISSN | 16605454 |
| Journal | Mediterranean Journal of Mathematics |
| Issue Number | 4 |
| Volume Number | 13 |
| Language | English |
| Publisher | Springer International Publishing |
| Publisher Date | 2015-06-03 |
| Publisher Place | Cham |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | continued fractions Transcendence $p$ -adic and power series fields Combinatorics on words Mathematics p-Adic number Transcendence (general theory) Thue–Morse sequences Continued fractions |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |
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