Non-negative values of quadratic forms
1971 ◽
Vol 12
(2)
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pp. 224-238
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Keyword(s):
In a paper [1] of the same title Barnes considered the problem of finding an upper bound for the infimum m+(f) of the non-negative values1 of an indefinite quadratic form f in n variables, of given determinant det(f) ≠ 0 and of signature s. In particular it was announced (and later proved — see [2]) that m+(f) ≦ (16/5)+ for ternary quadratic forms of determinant 1 and signature — 1. A simple consequence of this result is that m+(f) ≦ (256/135)+ for quaternary quadratic forms of determinant — 1 and signature — 2.
1981 ◽
Vol 89
(2)
◽
pp. 225-235
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1963 ◽
Vol 15
◽
pp. 412-421
◽
1983 ◽
Vol 94
(1)
◽
pp. 1-8
◽
1968 ◽
Vol 8
(1)
◽
pp. 87-101
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Keyword(s):
1961 ◽
Vol 2
(1)
◽
pp. 9-10
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Keyword(s):
1967 ◽
Vol 63
(2)
◽
pp. 277-290
◽
1959 ◽
Vol 55
(4)
◽
pp. 368-370
◽
Keyword(s):
2007 ◽
Vol 03
(04)
◽
pp. 541-556
◽
2018 ◽
Vol 2019
(23)
◽
pp. 7139-7159
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Keyword(s):
2017 ◽
Vol 26
(14)
◽
pp. 1750102
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Keyword(s):