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arXiv:1309.5838 [math.NT]AbstractReferencesReviewsResources

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

Jiyoung Han, Hyunsuk Kang, Yong-Cheol Kim, Seonhee Lim

Published 2013-09-11, updated 2013-11-13Version 3

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.

Categories: math.NT, math.CA
Subjects: 11P21, 11L07, 37C40, 42B05, 37C40, 42B05
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