%0 Journal Article
%A
%T The moments of the number of points of a lattice in a bounded set
%D 1955
%R 10.1098/rsta.1955.0015
%J Philosophical Transactions of the Royal Society of London. Series A,
Mathematical and Physical Sciences
%P 225-251
%V 248
%N 945
%X A certain average value of the kth power of the number of points of a lattice, with determinant 1, in a bounded n-dimensional set S is evaluated in terms of the volumes of certain sets of dimensions n, 2n, ..., kn associated with S, provided n is sufficiently large in comparison to k. The result is used to obtain a slight improvement of the Minkowskiâ€”Hlawka theorem.
%U http://rsta.royalsocietypublishing.org/content/roypta/248/945/225.full.pdf