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arXiv · 0909.1184

On theta series attached to maximal lattices and their adjoints

Siegfried Boecherer·Gabriele Nebe
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Abstract

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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Siegfried Boecherer, Gabriele Nebe. 2009-09-07. On theta series attached to maximal lattices and their adjoints. https://arxiv.org/abs/0909.1184

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