On lattice points in large convex bodies

Details On lattice points in large convex bodies On lattice points in large convex bodies

2010-07-24

arxiv.org/abs/1007.4284v1

Mathematics

Number Theory

Scientific paper

We consider a compact convex body $\mathcal{B}$ in $\mathbb{R}^d$
$(d\geqslant 3)$ with smooth boundary and nonzero Gaussian curvature and prove
a new estimate of $P_{\mathcal{B}}(t)$, the remainder in the lattice point
problem, which improves previously known best result.

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