Algebraic theory of difference equations and Mahler functions

DOI10.1007/s00010-012-0132-3zbMath1327.11052OpenAlexW2030098207MaRDI QIDQ1925803

Seiji Nishioka, Kumiko Nishioka

Publication date: 19 December 2012

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-012-0132-3

zbMATH Keywords

transcendencealgebraic independenceMahler functiondifference algebra

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Transcendence theory of other special functions (11J91) Difference algebra (12H10)

Related Items (3)

On the algebraic relations between Mahler functions ⋮ Note on the Stern-Brocot sequence, some relatives, and their generating power series ⋮ Mahler's method

Cites Work

• Unnamed Item
• Strongly \(q\)-additive functions and algebraic independence
• Algebraic independence of the power series defined by blocks of digits
• \(q\)-additive functions and algebraic independence
• Mahler functions and transcendence
• Pattern sequences in \(\langle q,r\rangle\)-numeration systems
• Algebraic independence results related to \(\langle q,r\rangle\)-number systems
• Some Theorems on Fourier Coefficients
• New approach in Mahler's method.
• Indépendance algébrique et K-fonctions
• Independence results for pattern sequences in distinct bases

This page was built for publication: Algebraic theory of difference equations and Mahler functions