Random lattice vectors in a set of size O(n)

2016/11/09 by Kim, Seungki · 1 citation
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1611.02880

Abstract

We adopt the sieve ideas of Schmidt and Södergren 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.

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