报告题目:  Andrews-Beck type congruences for k-colored partitions

报 告 人：林丽双 教授 (集美大学)

时    间：2021年5月15号 上午 10:00-11:00

地    点：腾讯会议237736497

报告人简介：

林丽双，2011年博士毕业于南开大学组合数学中心，研究方向是整数分拆，q-级数。已在Ramanujan Journal、Journal of Number Theory、Discrete Mathematics 等期刊上发表学术论文30余篇；已完成一项国家青年基金项目，正在主持一项国家面上项目。

报告内容：

   Recently, Beck conjectured  a new type of congruence involving Dyson’s rank and the number of parts of the partition. Later, Andrews confirmed Beck’s conjecture, and Chern established the analogue results on crank. Moreover, Chan, Mao and Osburn considered three Andrews-Beck type congruences on overpartitions and partition without repeated odd parts.

In this talk, we will present combinatorial proofs of two nice relations on rank and crank established by Chern, and then introduce our work on k-colored partitions. (This work joint with Lin Peng and Pee Choon Toh)