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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 $L$.

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