@inproceedings{0dbd1cad71334f0ebe26567910583256,
title = "Algebraic independence properties related to certain infinite products",
abstract = "In this paper we establish algebraic independence of the values of a certain infinite product as well as its all successive derivatives at algebraic points other than its zeroes, using the fact that the logarithmic derivative of an infinite product gives a partial fraction expansion. Such an infinite product is generated by a linear recurrence. The method used for proving the algebraic independence is based on the theory of Mahler functions of several variables.",
keywords = "Algebraic independence, Mahler's method, infinite products",
author = "Tanaka, {Taka Aki}",
year = "2011",
doi = "10.1063/1.3630047",
language = "English",
isbn = "9780735409477",
series = "AIP Conference Proceedings",
pages = "116--123",
booktitle = "Diophantine Analysis and Related Fields 2011, DARF - 2011",
note = "Diophantine Analysis and Related Fields 2011, DARF - 2011 ; Conference date: 03-03-2011 Through 05-03-2011",
}