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大学・研究所にある論文を検索できる 「ALGEBRAIC INDEPENDENCE RESULTS FOR A CERTAIN FAMILY OF POWER SERIES, INFINITE PRODUCTS, AND LAMBERT TYPE SERIES」の論文概要。リケラボ論文検索は、全国の大学リポジトリにある学位論文・教授論文を一括検索できる論文検索サービスです。
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ALGEBRAIC INDEPENDENCE RESULTS FOR A CERTAIN FAMILY OF POWER SERIES, INFINITE PRODUCTS, AND LAMBERT TYPE SERIES

Ide, Haruki 大阪大学 DOI:10.18910/93062

2023.10

概要

For a certain class of power series, infinite products, and Lambert type series, we establish a
necessary and sufficient condition for the infinite set consisting of their values, as well as their
derivatives of any order at any algebraic points except their poles and zeroes, to be algebraically
independent. As its corollary, we construct an example of an infinite family of entire functions
of two variables with the following property: Their values and their partial derivatives of any
order at any distinct algebraic points with nonzero components are algebraically independent. ...

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参考文献

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Department of Mathematics, Keio University

3–14–1 Hiyoshi, Kohoku-ku

223–8522, Yokohama

Japan

e-mail: haru1111@keio.jp

...

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