×

Similarity of quadratic forms and isomorphism of their function fields. (English) Zbl 0336.15013


MSC:

15A63 Quadratic and bilinear forms, inner products
11E16 General binary quadratic forms
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Manfred Knebusch, Specialization of quadratic and symmetric bilinear forms, and a norm theorem, Acta Arith. 24 (1973), 279 – 299. Collection of articles dedicated to Carl Ludwig Siegel on the occasion of his seventy-fifth birthday, III. · Zbl 0287.15010
[2] T. Y. Lam, The algebraic theory of quadratic forms, W. A. Benjamin, Inc., Reading, Mass., 1973. Mathematics Lecture Note Series. · Zbl 0259.10019
[3] Falko Lorenz, Quadratische Formen über Körpern, Lecture Notes in Mathematics, Vol. 130, Springer-Verlag, Berlin-New York, 1970 (German). · Zbl 0211.35303
[4] O. T. O’Meara, Introduction to quadratic forms, Die Grundlehren der Math. Wissenschaften, Band 117, Academic Press, New York; Springer-Verlag, Berlin, 1963. MR 27 #2485. · Zbl 0107.03301
[5] Takashi Ono, Arithmetic of orthogonal groups, J. Math. Soc. Japan 7 (1955), 79 – 91. · Zbl 0065.01201 · doi:10.2969/jmsj/00710079
[6] Albrecht Pfister, Multiplikative quadratische Formen, Arch. Math. (Basel) 16 (1965), 363 – 370 (German). · Zbl 0146.26001 · doi:10.1007/BF01220043
[7] Ernst Witt, Über ein Gegenbeispiel zum Normensatz, Math. Z. 39 (1935), no. 1, 462 – 467 (German). · Zbl 0010.14901 · doi:10.1007/BF01201366
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.