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Steklov Institute of Mathematics at St.Petersburg

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PREPRINT 07/2004

M. M. Skriganov and A. V. Sobolev##
VARIATION OF THE NUMBER OF LATTICE POINTS
IN LARGE BALLS

This preprint was accepted June 7, 2004

ABSTRACT:
For rational lattices in $\R^d$, $d\ge 4$
we prove lower bounds for the
variation of the number of lattice points
inside balls of large radius with a variable centre.
The obtained estimates are sharp for $d\ge 5$.

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