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Representations of integers by certain positive definite binary quadratic forms

โœ Scribed by M. Ram Murty; Robert Osburn


Publisher
Springer US
Year
2007
Tongue
English
Weight
333 KB
Volume
14
Category
Article
ISSN
1382-4090

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๐Ÿ“œ SIMILAR VOLUMES


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โœ Myung-Hwan Kim; Ja Kyung Koo; Byeong-Kweon Oh ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 150 KB

In this article, we provide the complete answer to a question raised by Kitaoka in his book. (1999, ``Arithmetic of Quadratic Forms,'' Cambridge Univ. Press, Cambridge, UK). More precisely, we prove that A 4 = ( 4) represents all but one and D 4 20[2 1 2 ] represents all but three binary positive ev

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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