2 papers
math.NT2025
Quasi-modularity in MacMahon partition variants and prime detection
Soon-Yi Kang, Toshiki Matsusaka, Gyucheol Shin
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 prop…
math.NT2024
Note on an explicit formula of Rademacher symbols for triangle groups
Toshiki Matsusaka, Gyucheol Shin
The purpose of this note is to present an explicit formula of the Rademacher symbols for triangle groups. This result generalizes Ghys' third proof of the identity relating to the…