On Differentially Algebraic Generating Series for Walks in the Quarter Plane

10/02/2020

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by   Charlotte Hardouin, et al.

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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.