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arXiv · 1410.2005

On the distribution of lengths of short vectors in a random lattice

Seungki Kim
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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 $n$.

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Seungki Kim. 2014-10-08. On the distribution of lengths of short vectors in a random lattice. https://arxiv.org/abs/1410.2005

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