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

DOI10.1016/j.jnt.2019.09.010zbMath1447.11083OpenAlexW2981166887MaRDI QIDQ2291707

Yusuke Tanuma

Publication date: 31 January 2020

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2019.09.010

zbMATH Keywords

algebraic independenceHecke-Mahler series, Mahler's method

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 power series and their derivatives generated by linear recurrences

Cites Work

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• A vanishing theorem for power series
• Note on a paper by Mahler
• Algebraic independence of the values of power series with unbounded coefficients
• On the generating function of the integer part: \([n\alpha{}+ \gamma{}\)]
• Algebraic independence of Mahler functions and their values
• Mahler functions and transcendence
• Algebraic independence properties of the Hecke-Mahler series
• Algebraic independence of the values of the Hecke–Mahler series and its derivatives at algebraic numbers

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