论文标题
斯坦利的循环类似物的循环类似物
A Cyclic Analogue of Stanley's Shuffle Theorem
论文作者
论文摘要
我们介绍了循环置换的环状主要指数，并给出了枚举公式的双变量类似物，用于与给定的环状下降数字，这是由于Adin，Gessel，Reiner和Roichman引起的，可以将其视为Stanley shuffle Theorem的环状类似物。这给了Adin，Gessel，Reiner和Roichman的问题，该问题由Domagalski，Liang，Minnich，Sagan，Schmidt和Sietsema提出。
We introduce the cyclic major index of a cycle permutation and give a bivariate analogue of enumerative formula for the cyclic shuffles with a given cyclic descent numbers due to Adin, Gessel, Reiner and Roichman, which can be viewed as a cyclic analogue of Stanley's Shuffle Theorem. This gives an answer to a question of Adin, Gessel, Reiner and Roichman, which has been posed by Domagalski, Liang, Minnich, Sagan, Schmidt and Sietsema again.
