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arXiv · 1309.5838

Distribution of integral lattice points in an ellipsoid with a diophantine center

Jiyoung Han·Hyunsuk Kang·Yong-Cheol Kim·Seonhee Lim
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Abstract

We evaluate the mean square limit of exponential sums related with a rational ellipsoid, extending a work of Marklof. Moreover, as a result of it, we study the asymptotic values of the normalized deviations of the number of lattice points inside a rational ellipsoid and inside a rational thin ellipsoidal shell.

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Jiyoung Han, Hyunsuk Kang, Yong-Cheol Kim, Seonhee Lim. 2013-11-13. Distribution of integral lattice points in an ellipsoid with a diophantine center. https://arxiv.org/abs/1309.5838

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