Representation of Integers by Positive Definite Binary Hermitian Lattices over Imaginary Quadratic Fields Original Research Article

LetLbe a positive definite binary integral hermitian lattice over an imaginary quadratic field, and letE(L) denote the number of integers (possibly infinite) which are represented by all localizations ofLbut not byLitself. It is shown thatE(L) tends to infinity as the volume ofLtends to infinity in an appropriate sense.