\(k\)-regular power series and Mahler-type functional equations

DOI10.1006/jnth.1994.1093zbMath0821.11013OpenAlexW1971420167MaRDI QIDQ1342381

P.-G. Becker-Landeck

Publication date: 11 January 1995

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

Full work available at URL: https://doi.org/10.1006/jnth.1994.1093

zbMATH Keywords

\(k\)-regular power seriesMahler-type functional equationtranscendence results at algebraic points

Mathematics Subject Classification ID

Transcendence (general theory) (11J81) Automata sequences (11B85)

Related Items (21)

ARITHMETIC PROPERTIES OF THE SEQUENCE OF DEGREES OF STERN POLYNOMIALS AND RELATED RESULTS ⋮ On some arithmetic properties of Mahler functions ⋮ Hankel determinants, Padé approximations, and irrationality exponents for \(p\)-adic numbers ⋮ Groupes de Galois et nombres automatiques ⋮ On Lindenmayerian algebraic sequences ⋮ On the algebraic relations between Mahler functions ⋮ A height gap theorem for coefficients of Mahler functions ⋮ On the spectrum of irrationality exponents of Mahler numbers ⋮ Frobenius method for Mahler equations ⋮ On the irrationality measure of the Thue–Morse constant ⋮ Number Theoretic Aspects of Regular Sequences ⋮ Criteria for regularity of Mahler power series and Becker's conjecture ⋮ Galois groups for integrable and projectively integrable linear difference equations ⋮ Cobham’s theorem and its extensions ⋮ Mahler's classification of complex numbers ⋮ Mahler takes a regular view of Zaremba ⋮ Becker’s conjecture on Mahler functions ⋮ Consistent systems of linear differential and difference equations ⋮ Diophantine approximation of Mahler numbers ⋮ Algebraic independence of the power series defined by blocks of digits ⋮ Symmetries of decimation invariant sequences and digit sets.

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