论文标题
Göllnitz-Gordon身份的几代人的新伴侣
New companions to the generations of the Göllnitz-Gordon identities
论文作者
论文摘要
Göllnitz和Gordon独立发现了Göllnitz-Gordon身份。 1967年，安德鲁斯获得了Göllnitz-Gordon身份的组合概括，称为Andrews-Göllnitz-Gordon定理。 1980年，布雷索德（Bressoud）将Andrews-Göllnitz-Gordon定理扩展到了Moduli，称为Bressoud-Göllnitz-Gordon定理。此外，布雷索德（Bressoud）赋予了Göllnitz-Gordon身份的概括的生成功能。在本文中，我们将为Göllnitz-Gordon身份的概括提供新的同伴。
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.
