The **Hermite number** of an integral lattice, $L$, with associated Gram matrix, $G$, is given by

\[
\frac{m(L)}{dG^{\frac{1}{n}}},
\]
where $dG$ denotes the determinant of the Gram matrix, $n$ the dimension of $L$, and $m(L)$ denotes the minimal vector length in $L$.

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- Review status: reviewed
- Last edited by Kiran S. Kedlaya on 2018-06-19 02:41:03

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- 2018-06-19 02:41:03 by Kiran S. Kedlaya (Reviewed)