8 citations · 38 across the 31 of their papers we have counts for
7 papers · 1 filter
On Nicolas criterion for the Riemann Hypothesis
Youngju Choie, Michel Planat, Patrick Solé
Nicolas criterion for the Riemann Hypothesis is based on an inequality that Euler totient function must satisfy at primorial numbers. A natural approach to derive this inequality w…
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…