Excedance Numbers for Permutations of Type $D$

ZHAO Fei-Yan

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Excedance Numbers for Permutations of Type $D$

ZHAO Fei-Yan

School of Mathematical Science, Nanjing Normal University, Nanjing 210023

*Correspondence author

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Funding: 教育部博士点基金（No.20123207120003）, 国家自然科学基金（No.11401316）, 江苏省高校自然科学研究项目（No.13KJB110019）

Opened online: 1 December 2014

Accepted by: none

Citation: ZHAO Fei-Yan.Excedance Numbers for Permutations of Type $D$[OL]. [ 1 December 2014] http://en.paper.edu.cn/en_releasepaper/content/4620198

This work provides a study on the multidistribution of type $B$excedances, fixed points and cycles on the permutations of type$D$. We derive the recurrences and closed formulas for thedistribution of signed excedances on type $D$ permutations as wellas derangements via combinatorial construction.

Keywords:type $B$excedance; type $D$permutation; type $D$ derangement; fixed point; cycle

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