抄録
In this paper we establish, using Mahler’s method, the algebraic independence of the values at an algebraic number of power series closely related to decimal expansion of linearly independent positive numbers. First we consider a simpler case in Theorem 1 and then generalize it to Theorem 3, which includes Nishioka’s result quoted as Theorem 2 of this paper. Lemma 7 plays an essential role in the proof of Theorems 1 and 3.
| 本文言語 | English |
|---|---|
| ページ（範囲） | 367-380 |
| ページ数 | 14 |
| ジャーナル | Results in Mathematics |
| 巻 | 46 |
| 号 | 3-4 |
| DOI | |
| 出版ステータス | Published - 2004 11月 1 |
ASJC Scopus subject areas
- 数学（その他）
- 応用数学