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On power means of positive quadratic forms

โœ Scribed by Erwin Lutwak


Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
161 KB
Volume
57
Category
Article
ISSN
0024-3795

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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 p>13 be a prime congruent to 1 modulo 4. Let G be the genus of a quaternary even positive definite Z-lattice of discriminant 4p whose 2-adic localization has a proper 2-modular Jordan component. We show that the orthogonal group of any lattice from G is generated by &1 and the symmetries with re