English

A note on invariant differential operators on Siegel-Jacobi space

Number Theory 2011-07-05 v5 Differential Geometry

Abstract

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.

Keywords

Cite

@article{arxiv.math/0611388,
  title  = {A note on invariant differential operators on Siegel-Jacobi space},
  author = {Jae-Hyun Yang},
  journal= {arXiv preprint arXiv:math/0611388},
  year   = {2011}
}

Comments

This paper has been withdrawn by the author due to some errors. new results : new article that contains new good results

R2 v1 2026-07-22T17:46:15.029Z