English

Congruences for Hermitan modular forms of degree 2

Number Theory 2010-05-18 v1

Abstract

We give two congruence properties of Hermitian modular forms of degree 2 over Q(1)\mathbb{Q}(\sqrt{-1}) and Q(3)\mathbb{Q}(\sqrt{-3}). The one is a congruence criterion for Hermitian modular forms which is generalization of Sturm's theorem. Another is the well-definedness of the pp-adic weight for Hermitian modular forms.

Keywords

Cite

@article{arxiv.1005.2993,
  title  = {Congruences for Hermitan modular forms of degree 2},
  author = {Toshiyuki Kikuta},
  journal= {arXiv preprint arXiv:1005.2993},
  year   = {2010}
}
R2 v1 2026-06-21T15:23:58.159Z