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Representations of integral quadratic forms over dyadic local fields

Author(s): Constantin N. Beli
Journal: Electron. Res. Announc. Amer. Math. Soc. 12 (2006), 100-112.
MSC (2000): Primary 11E08
Posted: August 10, 2006
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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.

References:

[B]
C. N. Beli, Integral spinor norms over dyadic local fields, J. Number Theory 102 (2003), 125-182. MR 1994477 (2004i:11030)

[B1]
C. N. Beli, BONG version of O'Meara's Theorem 93:28, preprint.

[B2]
C. N. Beli, Representations of quadratic lattices over dyadic local fields, preprint.

[OM]
O. T. O'Meara, Introduction to quadratic forms, Springer-Verlag, Berlin, 1963. MR 0152507 (27:2485)

[OM1]
O. T. O'Meara, The integral representation of quadratic forms over local fields, Amer. J. Math. 80 (1958), 843-878. MR 0098064 (20:4526)

[R]
C. Riehm, On the integral representations of quadratic forms over local fields, Amer. J. Math. 86 (1964), 25-62. MR 0161853 (28:5057)

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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
Email: raspopitu1@yahoo.com

DOI: 10.1090/S1079-6762-06-00165-X
PII: S 1079-6762(06)00165-X
Keywords: Integral quadratic forms, dyadic local fields
Received by editor(s): January 23, 2006
Posted: August 10, 2006
Communicated by: Brian Conrey
Copyright of article: Copyright 2006, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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