Resumen de On differentially algebraic generating series for walks in the quarter plane

Charlotte Hardouin, Michael F. Singer

• 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.