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dc.contributor.author
Chan, Wai Kiu
dc.contributor.author
Icaza, María Inés
dc.contributor.author
Lauret, Emilio Agustin
dc.date.available
2018-07-12T14:22:22Z
dc.date.issued
2015-01
dc.identifier.citation
Chan, Wai Kiu; Icaza, María Inés; Lauret, Emilio Agustin; A generalized hermite constant for imaginary quadratic fields; American Mathematical Society; Mathematics Of Computation; 84; 294; 1-2015; 1883-1900
dc.identifier.issn
0025-5718
dc.identifier.uri
http://hdl.handle.net/11336/51828
dc.description.abstract
We introduce the projective Hermite constant for positive definite binary hermitian forms associated with an imaginary quadratic number field K. It is a lower bound for the classical Hermite constant, and these two constants coincide when K has class number one. Using the geometric tools developed by Mendoza and Vogtmann for their study of the homology of the Bianchi groups, we compute the projective Hermite constants for those K whose absolute discriminants are less than 70, and determine the hermitian forms that attain the projective Hermite constants in these cases. A comparison of the projective hermitian constant with some other generalizations of the classical Hermite constant is also given.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Mathematical Society
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Extreme Hermitian Forms
dc.subject
Hermite Constant
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Minima of Hermitian Forms
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
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CIENCIAS NATURALES Y EXACTAS
dc.subject.classification
Ciencias de la Computación
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Ciencias de la Computación e Información
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CIENCIAS NATURALES Y EXACTAS
dc.title
A generalized hermite constant for imaginary quadratic fields
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-07-04T19:20:58Z
dc.journal.volume
84
dc.journal.number
294
dc.journal.pagination
1883-1900
dc.journal.pais
Estados Unidos
dc.journal.ciudad
Providence
dc.description.fil
Fil: Chan, Wai Kiu. Wesleyan University; Estados Unidos
dc.description.fil
Fil: Icaza, María Inés. Universidad de Talca; Chile
dc.description.fil
Fil: Lauret, Emilio Agustin. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
dc.journal.title
Mathematics Of Computation
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://dx.doi.org/10.1090/S0025-5718-2015-02903-2
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.ams.org/journals/mcom/2015-84-294/S0025-5718-2015-02903-2/
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