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arXiv · 2412.19180

Quasi-modularity in MacMahon partition variants and prime detection

Soon-Yi Kang·Toshiki Matsusaka·Gyucheol Shin
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Abstract

Building on the results of Craig, van Ittersum, and Ono, we provide a refined understanding of MacMahon's partition functions and their variants, including their quasi-modular properties and new prime-detecting expressions.

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Soon-Yi Kang, Toshiki Matsusaka, Gyucheol Shin. 2024-12-26. Quasi-modularity in MacMahon partition variants and prime detection. https://arxiv.org/abs/2412.19180

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