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New companions to the generations of the Göllnitz-Gordon identities

The Göllnitz-Gordon identities were found by Göllnitz and Gordon independently. In 1967, Andrews obtained a combinatorial generalization of the Göllnitz-Gordon identities, called the Andrews-Göllnitz-Gordon theorem. In 1980, Bressoud extended the Andrews-Göllnitz-Gordon theorem to even moduli, called the Bressoud-Göllnitz-Gordon theorem. Furthermore, Bressoud gave the generating functions for the generalizations of the Göllnitz-Gordon identities. In this article, we will give new companions to the generalizations of the Göllnitz-Gordon identities.

preprint2022arXivOpen access
Thomas Y. HeAlice X. H. Zhao
math.CO
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Thomas Y. HeAlice X. H. Zhao

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