On well-rounded ideal lattices - II
Number Theory
2013-01-15 v1
Abstract
We study well-rounded lattices which come from ideals in quadratic number fields, generalizing some recent results of the first author with K. Petersen. In particular, we give a characterization of ideal well-rounded lattices in the plane and show that a positive proportion of real and imaginary quadratic number fields contains ideals giving rise to well-rounded lattices.
Cite
@article{arxiv.1207.2671,
title = {On well-rounded ideal lattices - II},
author = {Lenny Fukshansky and Glenn Henshaw and Philip Liao and Matthew Prince and Xun Sun and Samuel Whitehead},
journal= {arXiv preprint arXiv:1207.2671},
year = {2013}
}
Comments
13 pages; to appear in the International Journal of Number Theory