English

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

Number Theory 2018-08-30 v3

Abstract

We adopt the sieve ideas of Schmidt and S\"odergren 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.

Keywords

Cite

@article{arxiv.1611.02880,
  title  = {Random lattice vectors in a set of size O(n)},
  author = {Seungki Kim},
  journal= {arXiv preprint arXiv:1611.02880},
  year   = {2018}
}

Comments

Appendix added