Algebraic theory of difference equations and Mahler functions

Kumiko Nishioka, Seiji Nishioka

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Algebraic independence of certain Mahler functions constructed from Rudin-Schapiro sequences and Baum-Sweet sequences is proved, using difference Riccati equations and the notion of difference field extension of valuation ring type.

Original languageEnglish
Pages (from-to)245-259
Number of pages15
JournalAequationes Mathematicae
Volume84
Issue number3
DOIs
Publication statusPublished - 2012 Dec

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Algebraic Theory
Riccati equations
Difference equations
Difference equation
Algebraic Independence
Valuation Ring
Field extension
Riccati Equation

Keywords

  • algebraic independence
  • difference algebra
  • Mahler function
  • transcendence

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics
  • Discrete Mathematics and Combinatorics

Cite this

Algebraic theory of difference equations and Mahler functions. / Nishioka, Kumiko; Nishioka, Seiji.

In: Aequationes Mathematicae, Vol. 84, No. 3, 12.2012, p. 245-259.

Research output: Contribution to journalArticle

Nishioka, Kumiko ; Nishioka, Seiji. / Algebraic theory of difference equations and Mahler functions. In: Aequationes Mathematicae. 2012 ; Vol. 84, No. 3. pp. 245-259.
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