On nondecomposable positive definite Hermitian forms over imaginary quadratic fields

Representation of Integers by Positive D

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

✍ A.G. Earnest; Azar Khosravani 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 609 KB

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) tends to infinity as the volume of L tends to in