On behalf of the authors and the Press, the editor has to notify the following amendments.

Volume 48 (1952), 72–86 and 519–20

J. W. S. Cassels. ‘The inhomogeneous minimum of binary quadratic, ternary cubic and quaternary quartic forms.’

Professor H. W. Lenstra Jr has pointed out that there is a mistake in the proof of Theorem 6, and that the constant 5300 must be replaced by the worse constant 16730. In (iii) of Lemma 16, k should be replaced by k2 and consequently k¼ by k½ in the display at the bottom of page 85. The new estimate results then from putting k = (2·35)2.