Zobrazeno 1 - 6
of 6
pro vyhledávání: '"André Luiz Flores"'
Autor:
José Othon Dantas Lopes, J. Carmelo Interlando, Trajano Pires da Nóbrega Neto, André Luiz Flores
Publikováno v:
Linear Algebra and its Applications. 438:3001-3010
Let m and n be integers greater than 1. Given lattices A and B of dimensions m and n , respectively, a technique for constructing a lattice from them of dimension m + n - 1 is introduced. Furthermore, if A and B possess bases satisfying certain condi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::acc55760606508279e2a81223f8e0df5
https://doi.org/10.1016/j.laa.2012.10.031
https://doi.org/10.1016/j.laa.2012.10.031
Publikováno v:
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry. 54:503-508
Known number theoretical constructions of the lattice E8 use the cyclotomic fields \({\mathbb{Q}(\zeta_{15}), \mathbb{Q}(\zeta_{20})}\), and \({\mathbb{Q}(\zeta_{24})}\). In this work, an infinite family of Abelian number fields yielding rotated vers
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a411ecefd2ffcfa350808dc810bdfc50
https://doi.org/10.1007/s13366-012-0095-5
https://doi.org/10.1007/s13366-012-0095-5
Publikováno v:
Canadian Mathematical Bulletin. 54:645-653
Let p be a prime, and let ζp be a primitive p-th root of unity. The lattices in Craig's family are (p –1)-dimensional and are geometrical representations of the integral ℤ[ζp]-ideals 〈1–ζp〉i , where i is a positive integer. This lattice
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::148a8d44f57e39f7ee8fd79fe5bc8cd9
https://doi.org/10.4153/cmb-2011-038-7
https://doi.org/10.4153/cmb-2011-038-7
Autor:
André Luiz Flores, Trajano Pires da Nóbrega Neto, José Othon Dantas Lopes, J. Carmelo Interlando
Publikováno v:
Journal of Algebra and Its Applications. :819-824
Let p be a prime number. A formula for the minimum absolute value of the discriminant of all Abelian extensions of ℚ of degree p2is given in terms of p.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e403045a57f8beb8ef8bf383d8c27e20
https://doi.org/10.1142/s0219498810004257
https://doi.org/10.1142/s0219498810004257
Publikováno v:
International Journal of Number Theory. :147-154
A new constructive family of asymptotically good lattices with respect to sphere packing density is presented. The family has a lattice in every dimension n ≥ 1. Each lattice is obtained from a conveniently chosen integral ideal in a subfield of th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f1ecda55a14f57ff1a46ffc0b683a14f
https://doi.org/10.1142/s1793042108001262
https://doi.org/10.1142/s1793042108001262
Publikováno v:
Anais do 2002 International Telecommunications Symposium.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4be94fe1f93e8fea4cd6568e5b63368e
https://doi.org/10.14209/its.2002.228
https://doi.org/10.14209/its.2002.228