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

โœ Scribed by A.G. Earnest; Azar Khosravani


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
609 KB
Volume
62
Category
Article
ISSN
0022-314X

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โœฆ 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.


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