Algebraic theory of difference equations and Mahler functions

Kumiko Nishioka, Seiji Nishioka

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


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
Issue number3
Publication statusPublished - 2012 Dec


  • Mahler function
  • algebraic independence
  • difference algebra
  • transcendence

ASJC Scopus subject areas

  • General Mathematics
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics


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