English

Pullback formula for vector-valued Hermitian modular forms on $\mathrm{U}_{n,n}$

Number Theory 2026-01-27 v6

Abstract

We give the pullback formula for vector-valued Hermitian modular forms on CM field. We also give the equivalent condition for a differential operator on Hermitian modular forms to preserve the automorphic properties.

Keywords

Cite

@article{arxiv.2412.06532,
  title  = {Pullback formula for vector-valued Hermitian modular forms on $\mathrm{U}_{n,n}$},
  author = {Nobuki Takeda},
  journal= {arXiv preprint arXiv:2412.06532},
  year   = {2026}
}

Comments

30 pages

R2 v1 2026-06-28T20:27:56.988Z