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College Colloquium-- Mahonian-Stirling statistics on Laguerre diagraphs

发布日期:2025-06-13点击数:

报告人:Jiang Zeng 教授(University Claude Bernard Lyon 1)

时间:2025年06月16日 10:00-

地点:理科楼LA103


摘要:Laguerre diagraphs are a combinatorial model for the mixed moments of Laguerre polynomials. Recently Cheng, Eu and Hsu generalized many  classical permutation statistics to Laguerre diagraphs and asked for an analogue of MacMahon's theorem on the equidistribution of the inversion number and the major index.  This will provide two interpretations for the mixed moments of the q-Laguerre polynomials. In this talk we shall give an answer to their problem and  further exhibit an analogue of Haglund-Remmel-Wilson type identity for the corresponding statistics.  We also generalize Deb and Sokal's recent enumerative results for the alternating Laguerre diagraphs to general Laguerre diagraphs.


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