On Indefinite Ternary Quadratic Forms

Canadian Journal of Mathematics - Tập 8 - Trang 592-608 - 1956
Barrie Jones1, G. L. Watson2
1Queen Mary College, London and University of Colorado
2University College London

Tóm tắt

1, Introduction. The first systematic study of equivalence of indefinite ternary quadratic forms seems to be that of A. Meyer (10) (see also Bachmann (1)). By methods which are often obscure he showed that the number of classes in a genus is a power of 2, the exact power depending on certain quadratic characters associated with the form.

Từ khóa


Tài liệu tham khảo

10.1007/BF02400420

10.2307/2371700

Meyer, 1896, Ueber indefinite terndre quadratische Formen, J. fur Math., 116, 307

Marsh Donald , An investigation of the number of classes in the genus of certain indefinite ternary quadratic forms, unpublished thesis, University of Colorado (1953).

MacDuffee, 1933

10.1215/S0012-7094-54-02119-5

Jones, 1950

Eichler, 1952

10.1098/rstl.1858.0003

Brandt, 1952, Ueber Stammfaktoren bei ternären quadratischen Formen, Ber. Ver. Sächsischen Akad. Wiss. zu Leipzig, Math.-nat. Klasse, 100.1, 24

Bachmann, 1925

Hermite, 1854, Sur la théorie des formes quadratiques ternaires indéfinies, Jour, für Math., 47, 307

10.1112/S0025579300000668

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Canadian Journal of Mathematics

Tập 8

592-608

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