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Asymmetric inequality for non-homogeneous ternary quadratic forms

✍ Scribed by Vishwa Chander Dumir


Publisher
Elsevier Science
Year
1969
Tongue
English
Weight
762 KB
Volume
1
Category
Article
ISSN
0022-314X

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πŸ“œ SIMILAR VOLUMES


Values of Non-homogeneous Indefinite Qua
✍ V.C. Dumir; R.J. Hansgill; A.C. Woods πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 303 KB

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,

Positive Values of Non-homogeneous Indef
✍ R. Sehmi; V.C. Dumir πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 827 KB

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