Asymmetric minima of indefinite ternary quadratic forms

摘要

Let f = f(x) = f(x1, x2,a€|, xn) be an indefinite n-ary quadratic form of determinant det (f); that is, f(x) = x' Ax where A is a real symmetric matrix with determinant det (f). Such a form is said to take the value v if there exists integral x a‰? 0 such that f(x) = v.