Walks in the quarter plane, genus zero case
Combinatorics
2020-11-06 v3
Abstract
We use Galois theory of difference equations to study the nature of the generating series of (weighted) walks in the quarter plane with genus zero kernel curve. Using this approach, we prove that the generating series do not satisfy any nontrivial (possibly nonlinear) algebraic differential equation with rational coefficients.
Keywords
Cite
@article{arxiv.1710.02848,
title = {Walks in the quarter plane, genus zero case},
author = {Thomas Dreyfus and Charlotte Hardouin and Julien Roques and Michael F. Singer},
journal= {arXiv preprint arXiv:1710.02848},
year = {2020}
}
Comments
Journal of Combinatorial Theory, Series A