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 (-<mml:mfrac>32</mml:mfrac>,<mml:mfrac>32</mml:mfrac>), we prove that the 1-level density for Hecke-Maass forms over F of square-free level q, as N(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 tend to infinity.