两个涉及Göllnitz-Gordon函数的模关系
Two Modular Relations Involving the Göllnitz-Gordon Functions
DOI: 10.12677/pm.2026.161005, PDF,   
作者: 张明洪：重庆师范大学数学科学学院，重庆
关键词: Göllnitz-Gordon函数；2-剖分；模关系；Göllnitz-Gordon Function； 2-Dissection Formulas； Modular Relations
摘要: Göllnitz-Gordon函数是整数分拆理论中非常重要的函数，它与著名的Rogers-Ramanujan恒等式密切相关。我们通过已知的连分数的2-剖分公式，通过奇偶分离的方法，得到了两个新的涉及Göllnitz-Gordon函数的模关系。
Abstract: The Göllnitz-Gordon function is a crucial function in the theory of integer partitions, closely related to the renowned Rogers-Ramanujan identity. By utilizing the known 2-dissection formulas for continued fractions and employing the method of separating odd and even terms, we have derived two new modular relations involving theGöllnitz–Gordon functions.
文章引用：张明洪. 两个涉及Göllnitz-Gordon函数的模关系[J]. 理论数学, 2026, 16(1): 37-41. https://doi.org/10.12677/pm.2026.161005

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