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arXiv · 2203.03257

New companions to the generations of the G\"ollnitz-Gordon identities

Thomas Y. He·Alice X. H. Zhao
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Abstract

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

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Thomas Y. He, Alice X. H. Zhao. 2022-03-07. New companions to the generations of the G\"ollnitz-Gordon identities. https://arxiv.org/abs/2203.03257

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