Low-lying zeros of $L$-functions for Maass forms over imaginary quadratic fields

We study the $1$- or $2$-level density of families of $L$-functions for Hecke–Maass forms over an imaginary quadratic field $F$. For test functions whose Fourier transform is supported in $(-\frac{3}{2},\frac{3}{2})$, we prove that the $1$-level density for Hecke–Maass forms over $F$ of square-free level $\mathfrak{q}$, as $\mathrm{N}(\mathfrak{q})$ tends to infinity, agrees with that of the orthogonal random matrix ensembles. For Hecke–Maass forms over $F$ of full level, we prove similar statements for the $1$- and $2$-level densities, as the Laplace eigenvalues tends to infinity.