On theta series attached to maximal lattices and their adjoints

Details On theta series attached to maximal lattices and their adjoints On theta series attached to maximal lattices and their adjoints

2009-09-07

arxiv.org/abs/0909.1184v1

Mathematics

Number Theory

Scientific paper

The space spanned by theta series of adjoints of maximal even lattices of
exact level $N$ and determinant $N^2$ has the Weierstrass property and hence
allows to define extremality for arbitrary squarefree level $N$. We find
examples of such dual extremal lattices.

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