Brillouin zones and the geometry of numbers

DOI10.1007/BF01104979zbMath0609.10027OpenAlexW2046782253MaRDI QIDQ1086609

Maxim M. Skriganov

Publication date: 1987

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01104979

zbMATH Keywords

latticecoveringnumber of lattice pointsballsfundamental domainsdiscsbest packingBrillouin zonesquantum solid state theory

Mathematics Subject Classification ID

Lattice points in specified regions (11P21) Lattice packing and covering (number-theoretic aspects) (11H31)

Related Items (1)

Focal rigidity of flat tori

Cites Work

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• The minimum of an inhomogeneous quadratic polynomial in \(n\) variables
• Über Integrale auf konvexen Körpern. I, II
• On the Number of Lattice Points in a Convex Set
• Über die Inhaltsgleichheit der Brillouinschen Zonen
• ON THE NUMBER OF LATTICE POINTS INSIDE A RANDOM OVAL

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