摘要
In [1, 2], we get an explicit description of cubic cyclic fields by proving the following Theorem A. Let U={η∈(?)(p)|N<sub>2(p)</sub>η=1}, where p is a primitive cubic root of unity. Write G=U/U<sup>3</sup>. Suppose η∈(?)(p) such that 1, η, (?) are representative elements in a subgroup of order 3 of G. Let s=T<sub>(?)(P)</sub>.(?)η be the trace of η, and then the roots of x<sup>3</sup>-3x-s=0 define a
<正> In [1, 2], we get an explicit description of cubic cyclic fields by proving the following Theorem A. Let U={η∈(?)(p)|N2(p)η=1}, where p is a primitive cubic root of unity. Write G=U/U3. Suppose η∈(?)(p) such that 1, η, (?) are representative elements in a subgroup of order 3 of G. Let s=T(?)(P).(?)η be the trace of η, and then the roots of x3-3x-s=0 define a cu
基金
Project supported by the National Natural Science Foundation of China