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math.MG2011★ 53 cited
Improved sphere packing lower bounds from Hurwitz lattices
Stephanie Vance
In this paper we prove an asymptotic lower bound for the sphere packing density in dimensions divisible by four. This asymptotic lower bound improves on previous asymptotic bounds…
math.MG2008★ 1 cited
A Mordell Inequality for Lattices over Maximal Orders
Stephanie Vance
In this paper we prove an analogue of Mordell's inequality for lattices in finite-dimensional complex or quaternionic Hermitian space that are modules over a maximal order in an im…