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Representations of Binary Forms by Certain Quinary Positive Integral Quadratic Forms

✍ Scribed by Myung-Hwan Kim; Ja Kyung Koo; Byeong-Kweon Oh

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
150 KB
Volume
89
Category
Article
ISSN
0022-314X

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✦ Synopsis

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 even Z-lattices. We further investigate representations of the binary forms by quinary forms in certain positive even 2-universal genera of class number 2.

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