3 papers
math.CO2022
New companions to the generations of the Göllnitz-Gordon identities
Thomas Y. He, Alice X. H. Zhao
The Göllnitz-Gordon identities were found by Göllnitz and Gordon independently. In 1967, Andrews obtained a combinatorial generalization of the Göllnitz-Gordon identities, called t…
math.CO2021
Generalizations of Dyson's Rank on Overpartitions
Alice X. H. Zhao
We introduce a statistic on overpartitions called the -rank. When there are no overlined parts, this coincides with the -rank of a partition introduced by Garvan.…
math.CO2017
The Bressoud-Göllnitz-Gordon Theorem for Overpartitions of even moduli
Thomas Y. He, Allison Y. F. Wang, Alice X. H. Zhao
We give an overpartition analogue of Bressoud's combinatorial generalization of the Göllnitz-Gordon theorem for even moduli in general case. Let be the num…