Algebraic independence of the values of power series, lambert series, and infinite products generated by linear recurrences

研究成果: Article査読

1 被引用数 (Scopus)

抄録

In Theorem 1 of this paper, we establish the necessary and sufficient condition for the values of a power series, a Lambert series, and an infinite product generated by a linear recurrence at the same set of algebraic points to be algebraically dependent. In Theorem 4, from which Theorems 1-3 are deduced, we obtain an easily confirmable condition under which the values more general than those considered in Theorem 1 are algebraically independent, improving the method of [5].

本文言語English
ページ(範囲)487-497
ページ数11
ジャーナルOsaka Journal of Mathematics
42
2
出版ステータスPublished - 2005 6 1

ASJC Scopus subject areas

  • 数学 (全般)

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