Rational-transcendental dichotomy of power series with a restriction on coefficients

DOI10.1007/s00605-017-1064-8zbMath1447.11084OpenAlexW2617685202MaRDI QIDQ1647823

Shiyi Tang, Chunlin Wang

Publication date: 27 June 2018

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-017-1064-8

zbMATH Keywords

polynomial sequencesD-finite power seriesrational-transcendental dichotomy

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Transcendence theory of other special functions (11J91) Special sequences and polynomials (11B83) Automata sequences (11B85) Other results on the distribution of values or the characterization of arithmetic functions (11N64)

Cites Work

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• Differentiably finite power series
• A note on recurring series
• Transcendence of generating functions whose coefficients are multiplicative
• Polynomials with coefficients from a finite set
• Fonctions multiplicatives et équations différentielles
• Power Series with Bounded Coefficients

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