1 citations · 2 across the 7 of their papers we have counts for
8 papers
A bijection related to Bressoud's conjecture
Y. H. Chen, Thomas Y. He
Bressoud introduced the partition function , which counts the number of partitions with certain difference conditions. Bressoud posed a conjecture on the…
An overpartition analogue of Bressoud conjecture for even moduli
Y. H. Chen, T. T. Gu, Thomas Y. He +2
In 1980, Bressoud conjectured a combinatorial identity for or . In this paper, we introduce a new partition function which can be viewed as an o…
Some Separable integer partition classes
Y. H. Chen, Thomas Y. He, F. Tang +1
Recently, Andrews introduced separable integer partition classes and analyzed some well-known theorems. In this paper, we investigate partitions with parts separated by parity intr…
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…
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…