Algebraic independence of power series generated by linearly independent positive numbers

研究成果: Article

2 引用 (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.

元の言語English
ページ(範囲)367-380
ページ数14
ジャーナルResults in Mathematics
46
発行部数3-4
DOI
出版物ステータスPublished - 2004 11 1

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Algebraic Independence
Power series
Linearly
Theorem
Decimal expansion
Algebraic number
Lemma
Generalise

ASJC Scopus subject areas

  • Mathematics (miscellaneous)
  • Applied Mathematics

これを引用

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