Algebraic independence of the partial derivatives of certain functions with arbitrary number of variables

DOI10.1016/j.indag.2023.07.003arXiv2208.01788OpenAlexW4385336823MaRDI QIDQ6057056

Taka-aki Tanaka, Haruki Ide

Publication date: 25 October 2023

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.01788

zbMATH Keywords

linear recurrencesinfinite productsalgebraic independenceMahler's method

Mathematics Subject Classification ID

Transcendence (general theory) (11J81)

Cites Work

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• Algebraic independence results for the values of certain Mahler functions and their application to infinite products
• Algebraic independence of the values of power series generated by linear recurrences
• Algebraic independence properties related to certain infinite products
• Algebraic independence of certain entire functions of two variables generated by linear recurrences

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