Integer moments of the spectral determinant ∣det(zI−W)∣2 of complex
random matrices W are obtained in terms of the characteristic polynomial of
the Hermitian matrix WW∗ for the class of matrices W=AU where A is a
given matrix and U is random unitary. This work is motivated by studies of
complex eigenvalues of random matrices and potential applications of the
obtained results in this context are discussed.Comment: 41 page, typos correcte