@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",

}