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Results tagged with theta-functions
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user 129064
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Geometric explanation for coincidence in lengths of 16-dimensional even unimodular lattices?
Question
Up to equivalence, there are two positive-definite even unimodular lattices in $16$ dimensions: $D_{8}^{+}\oplus D_{8}^{+}$ and $D_{16}^{+}$. As observed by Witt in 1941, the theory of modula …
- 401
3
votes
Geometric explanation for coincidence in lengths of 16-dimensional even unimodular lattices?
Outline
Allowing for rotations and reflections of cosets, it's straightforward to see that the cosets of the respective lattices are congruent upon breaking up the lattices into 4D chunks, primarily t …
- 401