Positive values of non-homogeneous indefinite quadratic forms II

Bambah, R. P. ; Dumir, V. C. ; Hans-Gill, R. J. (1984) Positive values of non-homogeneous indefinite quadratic forms II Journal of Number Theory, 18 (3). pp. 313-341. ISSN 0022-314X

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/002231...

Related URL: http://dx.doi.org/10.1016/0022-314X(84)90065-9

Abstract

The minimum Γr, r + 1 of positive values of non-homogeneous indefinite quadratic forms of type (r, r + 1), r ≥ 2, is determined. For r = 2, an isolation theorem is proved which is used in the result for r ≥ 3. Some asymmetric inequalities for forms of type (2, 2) needed for these results are also obtained.

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