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Representations of integral quadratic forms over dyadic local fields

Author: Constantin N. Beli
Journal: Electron. Res. Announc. Amer. Math. Soc. 12 (2006), 100-112
MSC (2000): Primary 11E08
Published electronically: August 10, 2006
MathSciNet review: 2237274
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Abstract: In this paper we give necessary and sufficient conditions for the representations of quadratic lattices over arbitrary dyadic fields. Our result is given in terms of Bases of Norm Generators (BONGs, for short). However, they can be translated in terms of the more traditional Jordan decompositions.

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Additional Information

Constantin N. Beli
Affiliation: Institute of Mathematics “Simion Stoilow” of the Romanian Academy, 21 Calea Grivitei Street, 010702-Bucharest, Sector 1, Romania
MR Author ID: 718695

Keywords: Integral quadratic forms, dyadic local fields
Received by editor(s): January 23, 2006
Published electronically: August 10, 2006
Communicated by: Brian Conrey
Article copyright: © Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.