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Polynomial sums over automorphs of a positive definite binary quadratic form

โœ Scribed by Ronald Evans

Publisher
Elsevier Science
Year
1977
Tongue
English
Weight
79 KB
Volume
9
Category
Article
ISSN
0022-314X

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Representation of Integers by Positive Definite Binary Hermitian Lattices over Imaginary Quadratic Fields
โœ A.G. Earnest; Azar Khosravani ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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