English

Real quadratic fields admitting universal lattices of rank7

Number Theory 2021-04-06 v3

Abstract

In this paper, we will prove that if dd is sufficiently large square-free positive rational integer, then there is no integral septenary universal quadratic lattice over OF\mathcal{O}_F where F=Q(d)F=\mathbb Q(\sqrt{d}).

Keywords

Cite

@article{arxiv.2006.15361,
  title  = {Real quadratic fields admitting universal lattices of rank7},
  author = {Byeong Moom Kim and Myung-Hwan KIm and Dayoon Park},
  journal= {arXiv preprint arXiv:2006.15361},
  year   = {2021}
}