Correction to “pair Correlation Densities of Inhomogeneous Quadratic Forms, Ii”

Proof One follows the argument in [1, pp. 432 – 433] (cf. also [2, Sec. 9]) to show that for each fixed badly approximable (k − 2)-tuple (α1, . . . , αk−2) there is a set of second Baire category of (αk−1, αk) ∈ T2 such that conditions (i), (ii), and (iii) of Theorem 1.7 hold for α = (α1, . . . , αk). Because the set of badly approximable (k − 2)-tuples is dense in Tk−2, and the set of second Baire category of (αk−1, αk) is dense in T2, the set C of α satisfying conditions (i), (ii), and (iii) of Theorem 1.7 is dense in Tk .