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

✍ Scribed by A.G. Earnest; Azar Khosravani

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 609 KB
• Volume: 62
• Category: Article
• ISSN: 0022-314X
• DOI: 10.1006/jnth.1997.2053

✦ Synopsis

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 infinity in an appropriate sense.