@article{a9d03f0cd2e5418aa5db0e4606327ebe,
title = "Algebraic theory of difference equations and Mahler functions",
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.",
keywords = "Mahler function, algebraic independence, difference algebra, transcendence",
author = "Kumiko Nishioka and Seiji Nishioka",
note = "Funding Information: The second author is supported by JSPS Research Fellowships for Young Scientists, by KAKENHI (20 · 4941) and by KAKENHI (23 · 5166).",
year = "2012",
month = dec,
doi = "10.1007/s00010-012-0132-3",
language = "English",
volume = "84",
pages = "245--259",
journal = "Aequationes Mathematicae",
issn = "0001-9054",
publisher = "Birkhauser Verlag Basel",
number = "3",
}