A Mordell inequality for lattices over maximal orders

DOI10.1090/S0002-9947-10-04989-5zbMath1246.11129arXiv0810.2336OpenAlexW2084229732MaRDI QIDQ3574796

Stephanie Vance

Publication date: 2 July 2010

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.2336

zbMATH Keywords

Hurwitz latticesEisenstein latticesMordell's inequality

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Lattice packing and covering (number-theoretic aspects) (11H31)

Related Items (2)

Improved sphere packing lower bounds from Hurwitz lattices ⋮ Algebraic construction of lattices via maximal quaternion orders

Cites Work

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• Optimality and uniqueness of the Leech lattice among lattices
• New upper bounds on sphere packings. I
• An application of Siegel's formula over quaternion orders
• The Coxeter–Todd lattice, the Mitchell group, and related sphere packings
• Group Representations and Lattices
• Maximal Orders
• Enumerating perfect forms

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