On the distribution of lengths of short vectors in a random lattice
Abstract
We use an idea from sieve theory to estimate the distribution of the lengths of $k$th shortest vectors in a random lattice of covolume 1 in dimension $n$. This is an improvement of the results of Rogers and Södergren in that it allows $k$ to increase with $n$.
 Publication:

arXiv eprints
 Pub Date:
 October 2014
 arXiv:
 arXiv:1410.2005
 Bibcode:
 2014arXiv1410.2005K
 Keywords:

 Mathematics  Number Theory