Small generators of number fields

dc.creatorRuppert, Wolfgang M.
dc.date1996-12-17
dc.date.accessioned2026-07-07T09:15:42Z
dc.date.available2026-07-07T09:15:42Z
dc.descriptionThis is a revised version of ANT-0045. If K is a number field of degree n with discriminant D, if K=Q(a) then H(a)>c(n)|D|^(1/(2n-2)) where H(a) is the height of the minimal polynomial of a. We ask if one can always find a generator a of K such that d(n)|D|^(1/(2n-2))>H(a) holds. The answer is yes for real quadratic fields.
dc.identifierhttps://arxiv.org/abs/math/9612229
dc.identifierhttp://arxiv.org/abs/math/9612229
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153104
dc.subjectNumber Theory
dc.titleSmall generators of number fields
dc.typetext

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