English

On the mod $p$ kernel of the theta operator and Eisenstein series

Number Theory 2017-08-03 v1

Abstract

Siegel modular forms in the space of the mod pp kernel of the theta operator are constructed by the Eisenstein series in some odd-degree cases. Additionally, a similar result in the case of Hermitian modular forms is given.

Keywords

Cite

@article{arxiv.1708.00564,
  title  = {On the mod $p$ kernel of the theta operator and Eisenstein series},
  author = {Shoyu Nagaoka and Sho Takemori},
  journal= {arXiv preprint arXiv:1708.00564},
  year   = {2017}
}