Article ID Journal Published Year Pages File Type
4593491 Journal of Number Theory 2015 39 Pages PDF
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.

Keywords
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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