On theta series attached to maximal lattices and their adjoints
classification
🧮 math.NT
keywords
latticesadjointslevelmaximalseriesthetaallowsarbitrary
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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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