English

On theta series attached to maximal lattices and their adjoints

Number Theory 2009-09-08 v1

Abstract

The space spanned by theta series of adjoints of maximal even lattices of exact level NN and determinant N2N^2 has the Weierstrass property and hence allows to define extremality for arbitrary squarefree level NN. We find examples of such dual extremal lattices.

Keywords

Cite

@article{arxiv.0909.1184,
  title  = {On theta series attached to maximal lattices and their adjoints},
  author = {Siegfried Boecherer and Gabriele Nebe},
  journal= {arXiv preprint arXiv:0909.1184},
  year   = {2009}
}