| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6415406 | Journal of Number Theory | 2015 | 21 Pages |
Abstract
Tachiya investigated a class of infinite products of rational functions arithmetically and established that their values at certain algebraic points are algebraic numbers if and only if the infinite products are rational functions. In this paper we prove further arithmetical results for the values of these infinite products both qualitatively and quantitatively, which can be carried out by studying these infinite products as formal power series carefully.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Masaaki Amou, Keijo Väänänen,