Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593491 | Journal of Number Theory | 2015 | 39 Pages |
Abstract
We evaluate the mean square limit of exponential sums related to 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Jiyoung Han, Hyunsuk Kang, Yong-Cheol Kim, Seonhee Lim,