8 citations · 13 across the 6 of their papers we have counts for
6 papers
Quasimodular forms, Jacobi-like forms, and pseudodifferential operators
YoungJu Choie, Minho Lee
We study various properties of quasimodular forms by using their connections with Jacobi-like forms and pseudodifferential operators. Such connections are made by identifying quasi…
Period Relations, Jacobi Forms and Eichler Integral
YoungJu Choie, Subong Lim
We study period relations of Jacobi forms. It turns out that the relations satisfied by Mordell integral coming from Lerch or Appell sums are the special case of those. The existen…
Symmetric tensor representations,quasimodular forms, and weak Jacobi forms
YoungJu Choie, Minho Lee
We establish a correspondence between vector-valued modular forms with respect to a symmetric tensor representation and quasimodular forms. This is carried out by first obtaining a…
On harmonic weak Maass forms of half integral weight
Bumkyu Cho, YoungJu Choie
We show that certain space of vector valued harmonic weak Maass forms of half integral weight is isomorphic to a space of scalar valued ones whose Fourier coefficients are supporte…
Zagier duality for harmonic weak Maass forms of integral weight
Bumkyu Cho, YoungJu Choie
We show the existence of "Zagier duality" between vector valued harmonic weak Maass forms and vector valued weakly holomorphic modular forms of integral weight. This duality phenom…
Non vanishing of Central values of modular L-functions for Hecke eigenforms of level one
D. Choi, Y. Choie
Let F(z) be a newform of weight 2k and level one with a trivial character, and assume that F(z) is a non-zero eigenform of all Hecke operators. In this paper, we study nonvanishing…