A conjecture of G. L. Watson asserts that the two-sided infimum of the values of a non-homogeneous real indefinite quadratic form in \(n\) variables, obtained when the variables range over all integral values, is an invariant under the signature modulo 8. There is an analogous conjecture by Bambah,
β¦ LIBER β¦
Asymmetric inequality for non-homogeneous ternary quadratic forms
β Scribed by Vishwa Chander Dumir
- Publisher
- Elsevier Science
- Year
- 1969
- Tongue
- English
- Weight
- 762 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
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The minimum \(\Gamma_{r, n-r}\) of positive values of non-homogeneous indefinite quadratic forms of type \((r, n-r)\) is defined as the infimum of all constants \(\Gamma>0\) such that for any indefinite quadratic form \(Q\) of type ( \(r, n-r\) ) and determinant \(D \neq 0\) and any real numbers \(c