On Differentially Algebraic Generating Series for Walks in the Quarter Plane
Combinatorics
2020-10-05 v1 Symbolic Computation
Number Theory
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.
Keywords
Cite
@article{arxiv.2010.00963,
title = {On Differentially Algebraic Generating Series for Walks in the Quarter Plane},
author = {Charlotte Hardouin and Michael F Singer},
journal= {arXiv preprint arXiv:2010.00963},
year = {2020}
}
Comments
37 Pages