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A new number field construction of the D4-lattice

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dc.contributor.authorInterlando, J. Carmelo
dc.contributor.authorLopes, José Othon Dantas
dc.contributor.authorda Nóbrega Neto, Trajano Pires [UNESP]
dc.contributor.institutionSan Diego State University
dc.contributor.institutionFederal University of Ceará
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.date.accessioned2022-04-30T07:05:12Z
dc.date.available2022-04-30T07:05:12Z
dc.date.issued2018-01-01
dc.description.abstractA classical problem in lattice theory is to determine whether a given lattice can be realized as OK-lattice, where OK is the ring of integers of some number field K. In this work we show that the lattice D4 can be realized as an OF -lattice for infinitely many totally real biquadratic fields F.en
dc.description.affiliationDepartment of Mathematics and Statistics San Diego State University
dc.description.affiliationDepartment of Mathematics Federal University of Ceará
dc.description.affiliationDepartment of Mathematics São Paulo State University
dc.description.affiliationUnespDepartment of Mathematics São Paulo State University
dc.format.extent299-305
dc.identifierhttp://dx.doi.org/10.12732/ijam.v31i2.11
dc.identifier.citationInternational Journal of Applied Mathematics, v. 31, n. 2, p. 299-305, 2018.
dc.identifier.doi10.12732/ijam.v31i2.11
dc.identifier.issn1314-8060
dc.identifier.issn1311-1728
dc.identifier.scopus2-s2.0-85045843389
dc.identifier.urihttp://hdl.handle.net/11449/232731
dc.language.isoeng
dc.relation.ispartofInternational Journal of Applied Mathematics
dc.sourceScopus
dc.subjectLattices
dc.subjectNumber fields
dc.subjectSphere packings
dc.titleA new number field construction of the D4-latticeen
dc.typeArtigo
dspace.entity.typePublication
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentMatemática - IBILCEpt

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São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas