Article ID Journal Published Year Pages File Type
6415406 Journal of Number Theory 2015 21 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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