3 papers
math.NT2026
Zeros of Quasimodular Forms Defined by Iterated Sums
Katsumi Kina, Gyucheol Shin
We study the zeros of the quasimodular forms defined by iterated sums. We first show that, for every , has exactly simple zeros on each of the…
math.NT2025
Multiplicative Hecke operators and their application II
Chang Heon Kim, Gyucheol Shin
Inspired by Borcherds' questions, Guerzhoy constructed a new type of Hecke operators , called the multiplicative Hecke operators, which acts on the space of meromor…
math.NT2024
Multiplicative Hecke operators and their applications
Chang Heon Kim, Gyucheol Shin
In this paper, we define the multiplicative Hecke operators for any positive integer on the integral weight meromorphic modular forms for . We then show…