The characteristic of a quadratic form for an arbitrary field
Author:
Rufus Oldenburger
Journal:
Trans. Amer. Math. Soc. 53 (1943), 454-462
MSC:
Primary 09.0X
DOI:
https://doi.org/10.1090/S0002-9947-1943-0008588-9
MathSciNet review:
0008588
Full-text PDF Free Access
References | Similar Articles | Additional Information
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Ernst Witt, Theorie der quadratischen Formen in beliebigen Körpern, J. Reine Angew. Math. vol. 176 (1937) pp. 31-44.
Alfred Loewy, Ueber Scharen reeller quadratischer und Hermitescher Formen, ibid. vol. 122 (1900) pp. 53-72.
- Rufus Oldenburger, Expansions of quadratic forms, Bull. Amer. Math. Soc. 49 (1943), 136–141. MR 7738, DOI https://doi.org/10.1090/S0002-9904-1943-07876-7
- L. E. Dickson, On quadratic forms in a general field, Bull. Amer. Math. Soc. 14 (1907), no. 3, 108–115. MR 1558550, DOI https://doi.org/10.1090/S0002-9904-1907-01568-9 Helmut Hasse, Über die Darstellbarkeit von Zahlen durch quadratischen Formen im Körper der rationalen Zahlen, J. Reine Angew. Math. vol. 152 (1923) pp. 129-148.
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Article copyright:
© Copyright 1943
American Mathematical Society
