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Article Dans Une Revue Selecta Mathematica (New Series) Année : 2021

On differentially algebraic generating series for walks in the quarter plane

Résumé

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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Dates et versions

hal-03403948 , version 1 (26-10-2021)

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Charlotte Hardouin, Michael F Singer. On differentially algebraic generating series for walks in the quarter plane. Selecta Mathematica (New Series), 2021, 27 (5), ⟨10.1007/s00029-021-00703-9⟩. ⟨hal-03403948⟩
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