ON THE DENSITY OF THE SPLITTING OF 2 IN CUBIC FIELDS

被引：0
|
作者：
DELCORSO, I
DVORNICICH, R
机构：
[1] SCUOLA NORMALE SUPER PISA,I-56126 PISA,ITALY
[2] UNIV CALABRIA,DIPARTIMENTO MATEMAT,I-87036 RENDE,ITALY
来源：
ANNALI DI MATEMATICA PURA ED APPLICATA | 1993年 / 165卷
关键词：
D O I：
10.1007/BF01765843
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider all algebraic integers alpha of degree 3 and all possible splittings of the ideal generated by 2 in cubic fields; we determine the density of the alpha's such that the splitting of 2 in Q(alpha) is fixed. We also obtain the density of the integers generating cubic fields of index 2.
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页码：99 / 107
页数：9
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