The generating function of Kreweras walks with interacting boundaries is not algebraic - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Communication Dans Un Congrès Année : 2021

The generating function of Kreweras walks with interacting boundaries is not algebraic

Résumé

Beaton, Owczarek and Xu (2019) studied generating functions of Kreweras walks and of reverse Kreweras walks in the quarter plane, with interacting boundaries. They proved that for the reverse Kreweras step set, the generating function is always algebraic, and for the Kreweras step set, the generating function is always D-finite. However, apart from the particular case where the interactions are symmetric in $x$ and $y$, they left open the question of whether the latter one is algebraic. Using computer algebra tools, we confirm their intuition that the generating function of Kreweras walks is not algebraic, apart from the particular case already identified.
Fichier principal
Vignette du fichier
2012.00816.pdf (146.88 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03084659 , version 1 (21-12-2020)

Identifiants

Citer

Alin Bostan, Manuel Kauers, Thibaut Verron. The generating function of Kreweras walks with interacting boundaries is not algebraic. FPSAC'21 - Formal power series and algebraic combinatorics, Jul 2021, Ramat Gan, Israel. pp.12. ⟨hal-03084659⟩
67 Consultations
70 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More