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A Division Algorithm Approach to $p$-Adic Sylvester Expansions
| Content Provider | Semantic Scholar |
|---|---|
| Author | Errthum, Eric |
| Copyright Year | 2015 |
| Abstract | A method of constructing finite $p$-adic Sylvester expansions for all rationals is presented. This method parallels the classical Fibonacci-Sylvester (greedy) algorithm by iterating a $p$-adic division algorithm. The method extends to irrational $p$-adics that have an embedding in the reals. |
| Starting Page | 1 |
| Ending Page | 10 |
| Page Count | 10 |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/j.jnt.2015.08.016 |
| Alternate Webpage(s) | https://arxiv.org/pdf/1508.01503v1.pdf |
| Alternate Webpage(s) | https://doi.org/10.1016/j.jnt.2015.08.016 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
