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On the Positivity Problem for Simple Linear Recurrence Sequences
Published 6 Sep 2013 in cs.DM | (1309.1550v3)
Abstract: Given a linear recurrence sequence (LRS) over the integers, the Positivity Problem} asks whether all terms of the sequence are positive. We show that, for simple LRS (those whose characteristic polynomial has no repeated roots) of order 9 or less, Positivity is decidable, with complexity in the Counting Hierarchy.
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