论文标题
在差异代数生成系列中，用于四分之一飞机
On Differentially Algebraic Generating Series for Walks in the Quarter Plane
论文作者
论文摘要
我们优化了四分之一平面步行的加权模型的生成一系列的必要条件，以差异为代数。此外，我们根据Mordell-Weil晶格的理论给出算法，该理论对于每个加权模型，在确定相关生成序列的此特性的权重上产生多项式条件。
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.
