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arxiv: 1710.03026 · v1 · pith:INNALFJNnew · submitted 2017-10-09 · 🧮 math.NT

On the pseudorandomness of automatic sequences

classification 🧮 math.NT
keywords automaticgeneratingpseudorandomnesssequencesautomatonsbehaviorcorrelationderived
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We study the pseudorandomness of automatic sequences in terms of well-distribution and correlation measure of order 2. We detect non-random behavior which can be derived either from the functional equations satisfied by their generating functions or from their generating finite automatons, respectively.

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