1 citations · 1 across the 5 of their papers we have counts for
7 papers
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…
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.…
Overpartitions and Bressoud's conjecture, II
Thomas Y. He, Kathy Q. Ji, Alice X. H. Zhao
The main objective of this paper is to present an answer to Bressoud's conjecture for the case , resulting in a complete solution to the conjecture. The case for has bee…
Overpartitions and Bressoud's conjecture, I
Thomas Y. He, Kathy Q. Ji, Alice X. H. Zhao
In 1980, Bressoud conjectured a combinatorial identity for or , where the function counts the number of partitions with certain congruence conditions and t…
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…
An overpartition analogue of the Andrews-Göllnitz-Gordon theorem
Thomas Y. He, Kathy Q. Ji, Allison Y. F. Wang +1
In 1967, Andrews found a combinatorial generalization of the Göllnitz-Gordon theorem, which can be called the Andrews-Göllnitz-Gordon theorem. In 1980, Bressoud derived a multisum…
The Bailey transform and Hecke-Rogers identities for the universal mock theta functions
Kathy Q. Ji, Aviva X. H. Zhao
Recently, Garvan obtained two-variable Hecke-Rogers identities for three universal mock theta functions by using basic hypergeometric functions, and…