Positive values of non-homogeneous indefinite quadratic forms II

AbstractThe 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