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arXiv · 2606.24243

Minimal excludant integer and bilateral truncated Jacobi triple product identity

Y. H. Chen·W. D. Deng·Thomas Y. He·H. X. Huang
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Abstract

In 2012, Andrews and Merca proved a truncated theorem on Euler's pentagonal number theorem. Since then, a number of results on truncated theta series have been proved, including truncated Jacobi triple product identity. In this paper, we provide partition-theoretic interpretations for the bilateral truncated Jacobi triple product identity in terms of the minimal excludant integer.

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Y. H. Chen, W. D. Deng, Thomas Y. He, H. X. Huang. 2026-06-23. Minimal excludant integer and bilateral truncated Jacobi triple product identity. https://arxiv.org/abs/2606.24243

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