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 .
|ジャーナル||Osaka Journal of Mathematics|
|出版ステータス||Published - 2005 6 1|
ASJC Scopus subject areas
- 数学 (全般)