COUNTING BASIS EXTENSIONS IN A LATTICE
Given a primitive collection of vectors in the integer lattice, we count the number of ways it can be extended to a basis by vectors with supnorm bounded by T, producing an asymptotic estimate as T → ∞. This problem can be interpreted in terms of unimodular matrices, as well as a representation prob...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
American Mathematical Society
2022
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| Subjects: | |
| Online Access: | View Fulltext in Publisher |