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Hankel determinants, Padé approximations, and irrationality exponents for p-adic numbers
| Content Provider | Semantic Scholar |
|---|---|
| Author | Bugeaud, Yann Yao, Jia-Yan |
| Copyright Year | 2017 |
| Abstract | The irrationality exponent of an irrational p-adic number $$\xi $$ξ, which measures the approximation rate of $$\xi $$ξ by rational numbers, is in general very difficult to compute explicitly. In this work, we shall show that the irrationality exponents of large classes of automatic p-adic numbers and Mahler p-adic numbers (which are transcendental) are exactly equal to 2. Our classes contain the Thue–Morse–Mahler p-adic numbers, the regular paperfolding p-adic numbers, the Stern p-adic numbers, among others. |
| Starting Page | 929 |
| Ending Page | 946 |
| Page Count | 18 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/s10231-016-0602-7 |
| Volume Number | 196 |
| Alternate Webpage(s) | https://irma.math.unistra.fr/~bugeaud/travaux/p-adic18.pdf |
| Alternate Webpage(s) | https://doi.org/10.1007/s10231-016-0602-7 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
