References
P. E.Conner and R.Perlis, A Survey of Trace Forms of Algebraic Number Fields. Surveys in Pure Math.2, Singapore 1984.
A. Fröhlich, Orthogonal representations of Galois groups, Stifel-Whitney classes and Hasse-Witt invariants. J. Reine Angew. Math.360, 84–123 (1985).
S.Lang, Diophantine Geometry. New York 1962.
J.-P. Serre, L'invariant de Witt de la formeTr(x 2). Comment. Math. Helv.59, 651–676 (1984).
O. Taussky, On the similarity transformation between an integral matrix with irreducible characteristic polynomial and its transpose. Math. Ann.166, 60–63 (1966).
W. C. Waterhouse, Pairs of quadratic forms. Invent. Math.37, 157–164 (1976).
Author information
Authors and Affiliations
Additional information
Work supported in part by the U.S.National Science Foundation, Grnat DMS 8400649.
Rights and permissions
About this article
Cite this article
Waterhouse, W.C. Scaled trace forms over number fields. Arch. Math 47, 229–231 (1986). https://doi.org/10.1007/BF01191998
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01191998