  We explore the momentum analyticity of the static transverse polarization
tensor of a 2+1 dimensional holographic superconductor in its normal phase with
a nonzero chemical potential, aiming at finding the holographic counterpart of
the singularities underlying the Friedel-like oscillations of an ordinary field
theory. We prove that the polarization tensor is a meromorphic function with an
infinite number of poles located on the complex momentum plane off real axis.
With the aid of the WKB approximation these poles are found to lies
asymptotically along two straight lines parallel to the imaginary axis for a
large momentum magnitude. The similarity between the holographic Green's
function and that of an weakly coupled ordinary field theory (e.g., 2+1
dimensional QED) regarding the location of the momentum singularities offers
further support to the validity of the gauge/gravity duality.
