DEGREE-ONE MAHLER FUNCTIONS: ASYMPTOTICS, APPLICATIONS AND SPECULATIONS

DOI10.1017/S0004972720000040zbMath1461.11109OpenAlexW3005203601MaRDI QIDQ5138954

Michael Coons

Publication date: 4 December 2020

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972720000040

zbMATH Keywords

transcendenceautomatic sequencesalgebraic independenceMahler functionsradial asymptotics

Mathematics Subject Classification ID

Combinatorics on words (68R15) Power series (including lacunary series) in one complex variable (30B10) Transcendence theory of other special functions (11J91) Automata sequences (11B85)

Cites Work

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• Fifty years as a Mathematician
• On certain Mahler functions
• ARITHMETIC PROPERTIES OF INFINITE PRODUCTS OF CYCLOTOMIC POLYNOMIALS
• Algebraic Independence of Infinite Products and Their Derivatives
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• On Some Inequalities for Polynomials in Several Variables
• Automatic Sequences
• Hypertranscendence and algebraic independence of certain infinite products
• Note on the Stern-Brocot sequence, some relatives, and their generating power series
• INFINITE PRODUCTS OF CYCLOTOMIC POLYNOMIALS
• TRANSCENDENCE OVER MEROMORPHIC FUNCTIONS
• An asymptotic approach in Mahler's method
• Uniform tag sequences
• Power Series with Bounded Coefficients

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