5 papers · 1 filter
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…
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…
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, a…
Hecke Equivariance of Divisor Lifting with respect to Sesquiharmonic Maass Forms
Daeyeol Jeon, Soon-Yi Kang, Chang Heon Kim
We investigate the properties of Hecke operator for sesquiharmonic Maass forms. We begin by proving Hecke equivariance of the divisor lifting with respect to sesquiharmonic Mass fu…
Hecke equivariance of generalized Borcherds products of type
Daeyeol Jeon, Soon-Yi Kang, Chang Heon Kim
Recently, a weak converse theorem for Borcherds' lifting operator of type for $\G_0(N)$ is proved and the logarithmic derivative of a modular form for $\G_0(N)$ is explici…