Pattern sequences in \(\langle q,r\rangle\)-numeration systems

DOI10.1016/S0019-3577(08)80020-1zbMath1185.11010OpenAlexW1985822490MaRDI QIDQ2270526

Iekata Shiokawa, Yohei Tachiya

Publication date: 28 July 2009

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

Full work available at URL: https://doi.org/10.1016/s0019-3577(08)80020-1

zbMATH Keywords

algebraic independenceMahler-type functional equationspattern sequences\(\langle q,r\rangle\)-expansion\(\langle q,r\rangle\)-numeration systems

Mathematics Subject Classification ID

Algebraic independence; Gel'fond's method (11J85) Radix representation; digital problems (11A63)

Related Items (3)

Algebraic theory of difference equations and Mahler functions ⋮ Linear relations between pattern sequences in a \(\langle q, r\rangle\)-numeration system ⋮ Algebraic independence results related to pattern sequences in distinct \(\langle q,r \rangle\)-numeration systems

Cites Work

• Unnamed Item
• On the algebraic independence of holomorphic solutions of certain functional equations and their values
• A class of hypertranscendental functions
• Algebraic independence of the power series defined by blocks of digits
• Mahler functions and transcendence
• Algebraic independence results related to \(\langle q,r\rangle\)-number systems
• Automatic Sequences

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