Lattice packings through division algebras

DOI10.1007/s00209-022-03157-7OpenAlexW3181956825MaRDI QIDQ2106543

Nihar Prakash Gargava

Publication date: 16 December 2022

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.04844

zbMATH Keywords

lattice packingsHaar measureSiegel's mean value theorem

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Lattice packing and covering (number-theoretic aspects) (11H31) Combinatorial aspects of packing and covering (05B40)

Cites Work

• Unnamed Item
• Improved sphere packing lower bounds from Hurwitz lattices
• Arithmetic subgroups of algebraic groups
• Optimality and uniqueness of the Leech lattice among lattices
• Über die Dichte der Primzahlen \(p\), für die eine vorgegebene ganzrationale Zahl \(a\neq 0\) von gerader bzw. ungerader Ordnung \(\mod p\) ist
• A mean value theorem in geometry of numbers
• A Note on Sphere Packings in High Dimension
• Finite-Dimensional Division Algebras over Fields
• Finite Subgroups of Division Rings
• Lie groups beyond an introduction
• On the geometry of numbers

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