Estimates of the number of relative minima of lattices

DOI10.1134/S0001434611010305zbMath1290.11102MaRDI QIDQ650416

A. A. Illarionov

Publication date: 25 November 2011

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

convergencecontinued fraction\(s\)-dimensional latticeKlein polyhedronminimum of a latticerank of a lattice

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Continued fractions and generalizations (11J70) Minima of forms (11H50)

Related Items (1)

On the statistical properties of Klein polyhedra in three-dimensional lattices

Cites Work

• On the error of number-theoretic quadrature formulas
• Local minima of lattices and vertices of Klein polyhedra
• An Introduction to the Geometry of Numbers
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