# Even positive definite unimodular quadratic forms over (√3)

@article{Hung1991EvenPD,
title={Even positive definite unimodular quadratic forms over (√3)},
author={David C. Hung},
journal={Mathematics of Computation},
year={1991},
volume={57},
pages={351-368}
}
• D. C. Hung
• Published 1 September 1991
• Mathematics
• Mathematics of Computation
A complete list of even unimodular lattices over Q(\/3) is given for each dimension n = 2, 4, 6, 8 . Siegel's mass formula is used to verify the completeness of the list. Alternate checks are given using theta series and the adjacency graph of the genus at the dyadic prime 1 + \/3 .
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## Tables from this paper

Golden lattices
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Automorphic forms for some even unimodular lattices
• Mathematics
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
• 2021
We look at genera of even unimodular lattices of rank 12 over the ring of integers of $${{\mathbb {Q}}}(\sqrt{5})$$ Q ( 5 ) and of rank 8 over the ring of integers of $${{\mathbb {Q}}}(\sqrt{3})$$ Q

## References

SHOWING 1-10 OF 17 REFERENCES