Hermitian modular forms congruent to 1 modulo p

Michael Hentschel, Gabriele Nebe

For any natural number $\ell$ and any prime $p\equiv 1(\mathrm{mod}4)$ not dividing $\ell$ there is a Hermitian modular form of arbitrary genus $n$ over $L:=\Q [\sqrt{-\ell}]$ that is…