  Infinite lattice summation scheme based on the idea of renormalization is
generalized to enable evaluation of infinite lattice sums with Bloch phase
factors which can occur when treating long-range interactions in infinite
periodic systems. The scheme is fast, with easy to control accuracy and is not
limited to any choice of special points in the Brillouin zone. Illustrative
calculation for a first few contributions for a simple cubic lattice is
presented.
