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arXiv 1007.4284math.NTmath.CA
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On lattice points in large convex bodies

Jingwei Guo

英文摘要:

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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