The rational-transcendental dichotomy of Mahler functions
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Publication:5404290
zbMath1291.30158arXiv1210.2070MaRDI QIDQ5404290
Michael Coons, Jason P. Bell, Eric S. Rowland
Publication date: 24 March 2014
Full work available at URL: https://arxiv.org/abs/1210.2070
Exact enumeration problems, generating functions (05A15) Recurrences (11B37) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05)
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An algorithm to recognize regular singular Mahler systems ⋮ Number Theoretic Aspects of Regular Sequences ⋮ Dynamically affine maps in positive characteristic ⋮ Profinite automata ⋮ Consistent systems of linear differential and difference equations ⋮ 3x+1 inverse orbit generating functions almost always have natural boundaries ⋮ Diophantine approximation of Mahler numbers
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