RT Journal Article
SR Electronic
T1 The moments of the number of points of a lattice in a bounded set
JF Philosophical Transactions of the Royal Society of London. Series A,
Mathematical and Physical Sciences
JO Philos Trans R Soc Lond A
FD The Royal Society
SP 225
OP 251
DO 10.1098/rsta.1955.0015
VO 248
IS 945
A1
YR 1955
UL http://rsta.royalsocietypublishing.org/content/248/945/225.abstract
AB 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.