Even positive definite unimodular quadratic forms over real quadratic fields

@article{Hsia1989EvenPD,
title={Even positive definite unimodular quadratic forms over real quadratic fields},
author={John S. Hsia},
journal={Rocky Mountain Journal of Mathematics},
year={1989},
volume={19},
pages={725-734}
}

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… Expand

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… Expand

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