论文标题
方路的矩形类似物猜想和单变量三角洲猜想
Rectangular analogues of the square paths conjecture and the univariate Delta conjecture
论文作者
论文摘要
在本文中，我们通过陈述平方路径的矩形类似物来扩展塑料的矩形侧面。此外，我们描述了一组组合对象和一个统计量，这是迈向（上升版）的矩形扩展的第一步，以及（上升版），以及（RISE）的Delta Square猜想的（上升版），对应于该情况$ q = 1 $ q = 1 $的预期一般性陈述。当矩形的侧面是cocrime时，我们还证明了在特殊情况下的新矩形路径。
In this paper, we extend the rectangular side of the shuffle conjecture by stating a rectangular analogue of the square paths conjecture. In addition, we describe a set of combinatorial objects and one statistic that are a first step towards a rectangular extension of (the rise version of) the Delta conjecture, and of (the rise version of) the Delta square conjecture, corresponding to the case $q=1$ of an expected general statement. We also prove our new rectangular paths conjecture in the special case when the sides of the rectangle are coprime.
