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Distribution of integral lattice points in an ellipsoid with a diophantine center
- Authors
- Han, Jiyoung; Kang, Hyunsuk; Kim, Yong-Cheol; Lim, Seonhee
- Issue Date
- 12월-2015
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Distribution of integral lattice points; Diophantine center; Schrodinger and Shale-Weil representation; Jacobi' s theta sums; Equidistribution of closed orbits
- Citation
- JOURNAL OF NUMBER THEORY, v.157, pp.468 - 506
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF NUMBER THEORY
- Volume
- 157
- Start Page
- 468
- End Page
- 506
- ISSN
- 0022-314X
- 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. (C) 2015 Elsevier Inc. All rights reserved.
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