Artículo
A generalized hermite constant for imaginary quadratic fields
Fecha de publicación:
01/2015
Editorial:
American Mathematical Society
Revista:
Mathematics Of Computation
ISSN:
0025-5718
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
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.
Palabras clave:
Extreme Hermitian Forms
,
Hermite Constant
,
Minima of Hermitian Forms
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Articulos(CIEM)
Articulos de CENT.INV.Y ESTUDIOS DE MATEMATICA DE CORDOBA(P)
Articulos de CENT.INV.Y ESTUDIOS DE MATEMATICA DE CORDOBA(P)
Citación
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
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