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math.NT2007★ 1 cited
Theta Series Associated with the Weil-Schroedinger Representation
Jae-Hyun Yang
The Weil representation discovered by Andre Weil plays an important role in the study of the tranformation properties of theta series. In this paper, we define the Weil-Schroedinge…
math.NT2007
Theory of the Siegel Modular Variety
Jae-Hyun Yang
In this paper, we discuss the theory of the Siegel modular variety in the aspects of arithmetic and geometry. This article covers the theory of Siegel modular forms, the Hecke theo…
math.NT2007
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…