Random Lattice Vectors in a Set of Size O(n)-Reference-Cited by-同舟云学术

Random Lattice Vectors in a Set of Size O(n)

Published:2018-04-09 Issue:5 Volume:2020 Page:1385-1416
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Kim Seungki¹

Affiliation:

1. Department of Mathematics, Korea Institute of Advanced Study, Seoul, Korea

Abstract

Abstract We adopt the sieve ideas of Schmidt [10, 11] and Södergren [14] in order to study the statistics of vectors of a random lattice of dimension n contained in a set of volume O(n). We also give some sporadic applications of our results to number theory.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/article-pdf/2020/5/1385/33049550/rny060.pdf

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