arXiv Analytics

Sign in

arXiv:0909.1184 [math.NT]AbstractReferencesReviewsResources

On theta series attached to maximal lattices and their adjoints

Siegfried Boecherer, Gabriele Nebe

Published 2009-09-07Version 1

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.

Related articles: Most relevant | Search more
arXiv:0807.4694 [math.NT] (Published 2008-07-29, updated 2008-10-21)
Reduction mod $\ell$ of Theta Series of Level $\ell^n$
arXiv:1106.4895 [math.NT] (Published 2011-06-24)
Quadratic forms and their theta series - infinitesimal aspects
arXiv:math/0009187 [math.NT] (Published 2000-09-20)
Cubic identities for theta series in three variables