3 papers
math.GT2025
On the Alexander polynomials of modular knots
Soon-Yi Kang, Toshiki Matsusaka, Kyungbae Park
Closed geodesics associated with indefinite binary quadratic forms, or equivalently with real quadratic irrationals, have long been studied as geometric …
math.NT2025
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…
math.NT2024
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…