Abstract
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 give new companions to the generalizations of the Göllnitz–Gordon identities.
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He, T.Y., Zhao, A.X.H. New companions to the generalizations of the Göllnitz–Gordon identities. Ramanujan J 61, 1077–1120 (2023). https://doi.org/10.1007/s11139-023-00715-3
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DOI: https://doi.org/10.1007/s11139-023-00715-3