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Algebraic theory of difference equations and Mahler functions

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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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Authors and Affiliations

  1. Department of Mathematics, Hiyoshi Campus, Keio University, 4-1-1 Hiyoshi, Kohoku-ku, Yokohama, 223-8521, Japan

    Kumiko Nishioka

  2. Department of Mathematical Sciences, Yamagata University, Kojirakawa-machi 1-4-12, Yamagata, 990-8560, Japan

    Seiji Nishioka

Authors
  1. Kumiko Nishioka
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  2. Seiji Nishioka
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Correspondence to Seiji Nishioka.

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Nishioka, K., Nishioka, S. Algebraic theory of difference equations and Mahler functions. Aequat. Math. 84, 245–259 (2012). https://doi.org/10.1007/s00010-012-0132-3

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  • DOI: https://doi.org/10.1007/s00010-012-0132-3

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