Zu Chongzhi Center Mathematics Research Seminar
Date and Time (China standard time): Thursday, November 10, 8:00-9:00pm
Zoom ID: 948 2248 4778
Title: Some related results of Roger-Ramanujan-Gordon type theorems for overpartitions
Speaker: Diane Yahui Shi
Bio: Dr. Shi, obtained her PhD from Center for Combinatorics, Nankai University. She is currently an associate professor at School of Mathematics, Tianjin Univeristy. Her research areas mainly on combinatorics, $q$-series, and integer partitions. Many of her results are published in prestigious journals, including Proc. London Math. Soc., J.Combin. Theory, Ser. A., Jourmal of Number Theory, and Ramanujan J.
Abstract: The Rogers-Ramanujan identities are two famous identities in partition theory. Over the past 100 years, many famous scholars, e.g., Macmahon, Gordon, Andrews, etc., have given the combinatorial interpretations and various generalizations of these two identites. Overpartition can be seen as the generalization of the ordinary partition and many partition theorems have overpartition analogue. In this talk, we shall discuss some related results of Rogers-Ramanujan-Gordon type theorems for overpartitions.