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

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

2009-03-25

arxiv.org/abs/0903.4334v1

Mathematics

Number Theory

Scientific paper

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.

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