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math.NT1999
Lattices and codes with long shadows
Noam D. Elkies
In an earlier paper (math.NT/9906019) we showed that any integral unimodular lattice L of rank n which is not isometric with Z^n has a characteristic vector of norm at most n-8. [A…
math.NT1999★ 3 cited
A characterization of the Z^n lattice
Noam D. Elkies
We use theta series and modular forms to prove that Z^n is the only integral unimodular lattice of rank n without characteristic vectors of norm <n, i.e. the only integral unimodul…