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このアイテムのファイル:
| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B58-09.pdf | 5.72 MB | Adobe PDF | 見る/開く |
| タイトル: | Mahler's classification and a certain class of $p$-adic numbers (Natural extension of arithmetic algorithms and S-adic system) |
| 著者: | Ooto, Tomohiro |
| 著者名の別形: | オオト, トモヒロ |
| キーワード: | 11J61 11J82 11B85 Mahler's classification automatic sequences |
| 発行日: | Jul-2016 |
| 出版者: | Research Institute for Mathematical Sciences, Kyoto University |
| 誌名: | 数理解析研究所講究録別冊 |
| 巻: | B58 |
| 開始ページ: | 177 |
| 終了ページ: | 190 |
| 抄録: | In this paper, we study a relation between digits of p-adic numbers and Mahler's classification. We show that an irrational p-adic number whose digits are automatic, primitive morphic, or Sturmian is an S-, T-, or U1-number in the sense of Mahler's classification. Furthermore, we give an algebraic independence criterion for p-adic numbers whose digits are Sturmian. |
| 記述: | "Natural extension of arithmetic algorithms and S-adic system". July 20～24, 2015. edited by Shigeki Akiyama. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
| 著作権等: | © 2016 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
| URI: | http://hdl.handle.net/2433/243583 |
| 出現コレクション: | B58 Natural extension of arithmetic algorithms and S-adic system |
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