Arithmetical properties of certain infinite products

作者:Amou Masaaki; Vaananen Keijo*
来源:Journal of Number Theory, 2015, 153: 283-303.
DOI:10.1016/j.jnt.2015.01.011

摘要

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.

  • 出版日期2015-8

全文