A note on invariant differential operators on Siegel-Jacobi space

Details A note on invariant differential operators on Siegel-Jacobi space A note on invariant differential operators on Siegel-Jacobi space

2006-11-13

arxiv.org/abs/math/0611388v5

Mathematics

Number Theory

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Scientific paper

In this article, we investigate differential operators on the Siegel-Jacobi space that are invariant under the natural action of the Jacobi group. These invariant differential operators play an important role in the arithmetic theory of Jacobi forms of higher degree. We present some explicit invariant differential operators. We present problems which are natural. We give some new partial solutions for these natural problems.

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