On the classification of lattices over $\Q(\sqrt{-3})$, which are even unimodular $\Z$-lattices

Aloys Krieg; Gabriele Nebe; Michael Hentschel

arxiv: 0903.4334 · v1 · submitted 2009-03-25 · 🧮 math.NT

On the classification of lattices over Q(sqrt{-3}), which are even unimodular Z-lattices

Michael Hentschel , Aloys Krieg , Gabriele Nebe This is my paper

classification 🧮 math.NT

keywords classificationlatticesevenformssqrtunimodularassociatedcompute

0 comments

read the original abstract

We give a classification of the lattices of rank r=4, r=8 and r=12 over \Q(\sqrt{-3}), which are even and unimodular \Z-lattices. Using this classification we construct the associated theta series, which are Hermitian modular forms, and compute the filtration of cusp forms.

This paper has not been read by Pith yet.

On the classification of lattices over Q(sqrt{-3}), which are even unimodular Z-lattices

discussion (0)