报告人：林志聪 (山东大学)

时间：2022年01月10日14:30开始

腾讯会议ID：428 725 748（无密码）

摘要：We prove that the number of even parts and the number of times that parts are repeated  have the same distribution over integer partitions with fixed perimeter. This refines Straub's analogue of Euler's Odd-Distinct partition theorem. We generalize the two concerned statistics to these of the part-difference less than $d$ and the parts not congruent to $1$ modulo $d+1$ and prove a distribution inequality, that has similar flavor as Alder's ex-conjecture, over partitions with prescribed perimeter. Both of our results are proved analytically and combinatorially. This talk is based on joint work with Huan Xiong and Sherry H.F. Yan.

简介:山东大学数学与交叉科学研究中心教授，主要从事计数组合学的研究，在《J. Combin. Theory Ser. A》、《Combinatorica》、《European J. Combin.》、《Proc. Amer. Math. Soc.》等多个学术刊物发表SCI学术论文30余篇。近期的研究兴趣主要集中在排列统计量及其相关组合结构上的双射和同分布问题。

邀请人：傅士硕

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