Algebraic independence properties related to certain infinite products

研究成果: Conference contribution

抄録

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.

本文言語English
ホスト出版物のタイトルDiophantine Analysis and Related Fields 2011, DARF - 2011
ページ116-123
ページ数8
DOI
出版ステータスPublished - 2011
イベントDiophantine Analysis and Related Fields 2011, DARF - 2011 - Musashino, Tokyo, Japan
継続期間: 2011 3 32011 3 5

出版物シリーズ

名前AIP Conference Proceedings
1385
ISSN(印刷版)0094-243X
ISSN(電子版)1551-7616

Other

OtherDiophantine Analysis and Related Fields 2011, DARF - 2011
国/地域Japan
CityMusashino, Tokyo
Period11/3/311/3/5

ASJC Scopus subject areas

  • 物理学および天文学(全般)

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