Algebraic independence of power series generated by linearly independent positive numbers

研究成果: Article査読

2 被引用数 (Scopus)

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
46
3-4
DOI
出版ステータスPublished - 2004 11 1

ASJC Scopus subject areas

  • Mathematics (miscellaneous)
  • Applied Mathematics

フィンガープリント 「Algebraic independence of power series generated by linearly independent positive numbers」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル