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On Differentially Algebraic Generating Series for Walks in the Quarter Plane
Published 2 Oct 2020 in math.CO, cs.SC, and math.NT | (2010.00963v1)
Abstract: We refine necessary and sufficient conditions for the generating series of a weighted model of a quarter plane walk to be differentially algebraic. In addition, we give algorithms based on the theory of Mordell-Weil lattices, that, for each weighted model, yield polynomial conditions on the weights determining this property of the associated generating series.
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