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Results tagged with lattices
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user 109563
Lattices in the sense of discrete subgroups of Euclidean spaces, as used in number theory, discrete geometry, Lie groups, etc. (Not to be confused with lattice theory or lattices as used in physics! For lattices (ordered sets), use the tag: [lattice-theory])
2
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1
answer
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distribution of diagonal entries of Hermite Normal Forms
Consider a $n$-by-$n$ matrix $A$ over the integers and let $H$ be its Hermite Normal Form. Is there any result about the distribution of the diagonal entries of $H$, when $A$ is "randomly selected"? F …
- 75
2
votes
0
answers
121
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Distribution of Smith normal forms for lower triangular matrices with given diagonals
Given integers $m$ and $n$ and $d_1, \ldots, d_m \in \mathbb{Z}/n \mathbb{Z}$, consider the set of all lower-triangular matrices of dimension $m$ with diagonal elements equal to $d_i$. What can be sai …
- 75