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

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.

arXiv comment30 pages

References in corpus (1)

• Kurokawa-Mizumoto congruence and differential operators on automorphic forms