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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

Even positive definite unimodular quadratic forms over $ {\bf Q}(\sqrt 3)$


Author: David C. Hung
Journal: Math. Comp. 57 (1991), 351-368
MSC: Primary 11E12; Secondary 11E41
MathSciNet review: 1079022
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Abstract: A complete list of even unimodular lattices over $ \mathbb{Q}(\sqrt 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 + \sqrt 3 $.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1991-1079022-9
PII: S 0025-5718(1991)1079022-9
Keywords: Root system, Minkowski-Siegel mass, Hilbert modular form, Eisenstein series, adjacenct lattices
Article copyright: © Copyright 1991 American Mathematical Society