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Algebraic theory of difference equations and Mahler functions |
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| Authors: | Kumiko Nishioka Seiji Nishioka |
| Affiliation: | 1. Department of Mathematics, Hiyoshi Campus, Keio University, 4-1-1 Hiyoshi, Kohoku-ku, Yokohama, 223-8521, Japan 2. Department of Mathematical Sciences, Yamagata University, Kojirakawa-machi 1-4-12, Yamagata, 990-8560, Japan |
| 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. |
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