Abstract
We give sufficient criteria for the m-automaticity of the coefficients of formal power series satisfying special Mahler equations over finite commutative rings as well as over finite fields of any characteristic. The main tool for our investigation will be the m-equation-kernel of a rational function. We show that there is a close relation between the finiteness of an m-equation-kernel and the finiteness of the m-kernel of a solution.
Supported by DFG-Graduiertenkolleg “Komplexe Dynamische Systeme”
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© 1999 Springer-Verlag London
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Von Haeseler, F., Jürgensen, W. (1999). Automaticity of Solutions of Mahler Equations. In: Ding, C., Helleseth, T., Niederreiter, H. (eds) Sequences and their Applications. Discrete Mathematics and Theoretical Computer Science. Springer, London. https://doi.org/10.1007/978-1-4471-0551-0_16
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DOI: https://doi.org/10.1007/978-1-4471-0551-0_16
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