Algebraic independence of the values of the Hecke–Mahler series and its derivatives at algebraic numbers

DOI10.1142/S1793042118501440zbMath1445.11068OpenAlexW2803892583WikidataQ114071984 ScholiaQ114071984MaRDI QIDQ4683195

Taka-aki Tanaka, Yusuke Tanuma

Publication date: 20 September 2018

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042118501440

zbMATH Keywords

algebraic independenceMahler's methodHecke-Mahler series

Mathematics Subject Classification ID

Algebraic independence; Gel'fond's method (11J85) Transcendence theory of other special functions (11J91)

Related Items (1)

Algebraic independence of the values of certain series and their derivatives involving the Hecke-Mahler series

Cites Work

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• Evertse theorem in algebraic independence
• A vanishing theorem for power series
• Note on a paper by Mahler
• Algebraic independence of Mahler functions and their values
• Mahler functions and transcendence
• Arithmetic properties of certain functions in several variables III
• Algebraic independence properties of the Hecke-Mahler series

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