Representation of integers by positive definite binary hermitian lattices over imaginary quadratic fields

Let L be a positive definite binary integral hermitian lattice over an imaginary quadratic field, and let E(L) denote the number of integers (possibly infinite) which are represented by all localizations of L but not by L itself. It is shown that E(L) lends to infinity as the volume of L tends to infinity in an appropriate sense. (C) 1997 Academic Press.