Quasi-modularity in MacMahon partition variants and prime detection
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912218652606464 |
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| author | Kang, Soon-Yi Matsusaka, Toshiki Shin, Gyucheol |
| author_facet | Kang, Soon-Yi Matsusaka, Toshiki Shin, Gyucheol |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_19180 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quasi-modularity in MacMahon partition variants and prime detection Kang, Soon-Yi Matsusaka, Toshiki Shin, Gyucheol Number Theory Combinatorics Primary 11P81, 05A17, Secondary 11F27 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. |
| title | Quasi-modularity in MacMahon partition variants and prime detection |
| topic | Number Theory Combinatorics Primary 11P81, 05A17, Secondary 11F27 |
| url | https://arxiv.org/abs/2412.19180 |