@article{Hsia1989EvenPD,
author={John S. Hsia},
journal={Rocky Mountain Journal of Mathematics},
year={1989},
volume={19},
pages={725-734}
}
• J. Hsia
• Published 1 September 1989
• Mathematics
• Rocky Mountain Journal of Mathematics
In spite of the numberous connections between even positive definite unimodular quadratic forms (henceforth referred to as even unimodular lattices) over Q with other subjects (e.g., finite group theory, geometry of numbers, combinatorial coding and design theories, automorphic functions, the explicit classification of these lattices has only been fully determined for a few cases, the most celebrated of them being undoubtedly the Leech-Niemeier-Witt [4] solution for the 24-dimensional Z…
6 Citations
Even positive definite unimodular quadratic forms over (√3)
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
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
Golden lattices
Let θ := −1+ √ 5 2 be the golden ratio. A golden lattice is an even unimodular Z[θ]-lattice of which the Hilbert theta series is an extremal Hilbert modular form. We construct golden lattices from

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