Quasi-modularity in MacMahon partition variants and prime detection
Number Theory
2025-02-05 v2 Combinatorics
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.
Keywords
Cite
@article{arxiv.2412.19180,
title = {Quasi-modularity in MacMahon partition variants and prime detection},
author = {Soon-Yi Kang and Toshiki Matsusaka and Gyucheol Shin},
journal= {arXiv preprint arXiv:2412.19180},
year = {2025}
}
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14 pages