Runqiao.Li

Affiliation: University of Texas Rio Grande Valley

Title Of Talk: DSPP and polynomial identities imple Göllnitz and Gordon identities

Abstract: In 2017, Guo-Niu Han and Huan Xiong studied the properties of skew shaped double shifted plane partitions(DSPP) and obtained their generating functions for arbitrary profiles expressed as an infinite product. It turns out that when the profiles have length 3, the generating functions are closely related to classic mod 8 identities due to Göllnitz and Gordon. In this talk, our main objects are DSPP of profile length 3 with a bounded length of diagonal. By applying MacMahon's partition analysis, combinatorial argument, and qFunctions packages, we will show their generating functions and related polynomial identities, which turn out to be finite forms of mod 8 identities due to Göllnitz and Gordon.

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