JP Journal of Algebra, Number Theory and Applications
Volume 15, Issue 1, Pages 45 - 51
(October 2009)
|
|
OPTIMAL FAMILIES OF TWO AND THREE-DIMENSIONAL LATTICE PACKINGS FROM POLYNOMIALS WITH INTEGER COEFFICIENTS
André Luiz Flores (Brazil), J. Carmelo Interlando (Brazil), José Valter Nunes Lopes (Brazil) and Trajano Pires Da Nóbrega Neto (Brazil)
|
Abstract: Starting from single-variable quadratic and cubic polynomials with integer coefficients, we construct families of optimal lattice packings of rank two and three in Euclidean space. Each family has infinitely many members. |
Keywords and phrases: lattices, sphere packings, center density, polynomials, geometry of numbers. |
|
Number of Downloads: 405 | Number of Views: 1369 |
|