A table of fundamental pairs of units in totally real cubic fields
A table of fundamental pairs of units in totally real cubic fields
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全实三次域中基本单位对表
DOI：
10.1090/s0025-5718-1987-0866105-8
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发表时间：
1987
影响因子：
2
通讯作者：
L. Schoenfeld
中科院分区：
文献类型：
--
作者：
T. Cusick;L. Schoenfeld
我们应用Cusick [5]的方法，将判别式D <6，885的前250个全真实的三次域F上的数据制成表格。除D外，我们还列出了F的类号H和调节器R。还给出了定义多项式g（x）= x3 Ax 2 + Bx C的整数系数A、B、C、它的指数I和它的最大零点R 0。对于j = 1，2，我们还列出了整数系数X.，是的，Z.对于两个单元E. =（X，+ + R？+ R ~ 2（Zj）/I与范数+1，形成一个基本对，以及E.整数F = trace（Py 2）。
We apply a method of Cusick [5] to tabulate data on the first 250 totally real cubic fields F having discriminant D < 6,885. Apart from D, we list the class number H and the regulator R of F. Also given are the integer coefficients A, B, C of a defining polynomial g(x) = x3 Ax2 + Bx C, its index I, and its largest zero R0. For j = 1,2, we also tabulate both the integercoefficients X., Y., Z. for the two units E. = (X,+ + R ?+ R2 Zj)/I with norm + 1, forming a fundamental pair, as well as the E. and the integers F = trace( Py2).