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On differentially algebraic generating series for walks in the quarter plane

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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https://hal.archives-ouvertes.fr/hal-03403948
Contributor : Charlotte Hardouin Connect in order to contact the contributor
Submitted on : Tuesday, October 26, 2021 - 1:53:59 PM
Last modification on : Wednesday, October 27, 2021 - 4:04:58 AM

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

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