4 papers · 1 filter
Hecke equivariance of the divisor map
Daeyeol Jeon, Soon-Yi Kang, Chang Heon Kim +1
We study the multiplicative Hecke operators acting on the space of meromorphic modular forms, and show that the divisor map to divisors on is a Hecke equivariant map. As a…
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…
A unified approach to Rohrlich-type divisor sums
Daeyeol Jeon, Soon-Yi Kang, Chang Heon Kim +1
We propose a systematic method for analyzing Rohrlich-type divisor sums for arbitrary congruence subgroups . Our main theorem unifies various results from the literature,…
Hauptmoduln and even-order mock theta functions modulo 2
Soon-Yi Kang, Seonkyung Kim, Toshiki Matsusaka +1
The Fourier coefficients of the elliptic modular -function are always even for . In contrast, for , it is conjectured that…