On differentially algebraic generating series for walks in the quarter plane

• Charlotte Hardouin ^[1] ; Michael F. Singer ^[2]
  1. [1] Université de Toulouse

     Université de Toulouse

     Arrondissement de Toulouse, Francia

     
  2. [2] North Carolina State University

     North Carolina State University

     Township of Raleigh, Estados Unidos

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 27, Nº. 5, 2021
• Idioma: inglés
• DOI: 10.1007/s00029-021-00703-9
• Enlaces
  • Texto completo
• Resumen

  • 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.