5 citations · 5 across the 6 of their papers we have counts for
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Functional Equation for Theta Series
Jae-Hyun Yang
In this short paper, we find the transformation formula for the theta series under the action of the Jacobi modular group on the Siegel-Jacobi space. This formula generalizes the f…
Construction of Vector Valued Modular Forms from Jacobi Forms
Jae-Hyun Yang
We give a geometrical construction of the canonical automorphic factor for the Jacobi group and construct new vector valued modular forms from Jacobi forms by differentiating them…
A Note on Maass-Jacobi Forms
Jae-Hyun Yang
In this paper, we introduce the notion of Maass-Jacobi forms and investigate some properties of these new automorphic forms. We also characterize these automorphic forms in several…
A decomposition theorem on differential polynomials of theta functions of high level
Jae-Hyun Yang
In this article, we prove a decomposition theorem on differential polynomials of theta functions of high level.