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

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

doi:10.1016/j.jnt.2015.05.014

상세 보기

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

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

Citations

WEB OF SCIENCE

0

Citations

SCOPUS

0

초록

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. (C) 2015 Elsevier Inc. All rights reserved.

키워드

Distribution of integral lattice points; Diophantine center; Schrodinger and Shale-Weil representation; Jacobi's theta sums; Equidistribution of closed orbits; INHOMOGENEOUS QUADRATIC-FORMS; PAIR CORRELATION DENSITIES; MEAN-SQUARE VALUE; REPRESENTATION; INTEGERS; SUMS; BALL

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

저자: Han, Jiyoung; Kang, Hyunsuk; Kim, Yong-Cheol; Lim, Seonhee

DOI: 10.1016/j.jnt.2015.05.014

발행일: 2015-12

유형: Article

저널명: Journal of Number Theory

권: 157

페이지: 468 ~ 506