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arXiv · 2403.10189

Even-Odd partition identities of Göllnitz-Gordon type

Pooneh Afsharijoo
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Abstract

In this paper, we establish a new companion to the Göllnitz--Gordon identities. We give two independent proofs. The first is based on a new system of recurrence formulas, while the second uses generating series and the analytic form of the Göllnitz--Gordon identities.

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Pooneh Afsharijoo. 2026-08-02. Even-Odd partition identities of Göllnitz-Gordon type. https://arxiv.org/abs/2403.10189

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