An Extension of Meyer's Theorem on Indefinite Ternary Quadratic Forms
1952 ◽
Vol 4
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pp. 120-128
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Keyword(s):
Let f be a ternary quadratic form whose matrix F has integral elements with g.c.d. 1, that is, an improperly or properly primitive form according as all diagonal elements are even or not. Let d be the determinant of f (denoted by ) Ω, the g.c.d. of the 2-rowed minors of F. Then d = Ω2 Δ determines an integer Δ. Two forms f in the same genus have the same invariants Ω, Δ, d. The form whose matrix is adj F/Ω, is called the reciprocal form of f.
2017 ◽
Vol 26
(14)
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pp. 1750102
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Keyword(s):
2018 ◽
Vol 14
(02)
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pp. 581-594
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1974 ◽
Vol 18
(4)
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pp. 388-401
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1961 ◽
Vol 2
(2)
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pp. 127-132
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2020 ◽
Vol 16
(08)
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pp. 1819-1832
Keyword(s):
1867 ◽
Vol 157
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pp. 255-298
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Keyword(s):
2007 ◽
Vol 03
(04)
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pp. 541-556
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2011 ◽
Vol 07
(06)
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pp. 1603-1614
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1971 ◽
Vol 12
(2)
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pp. 224-238
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