Luo Chenghui(罗承辉).CONSTRUCTIONS OF POWER BASES OF CYCLOTOMIC FIELDS[J].Chinese Annals of Mathematics B,1992,13(2):244~250
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Authors:
Luo Chenghui(罗承辉);
Abstract:
Suppose $Q(\xi _m)$ is the m-th cyclotomic number field,where $\xi _m$ is an m-th primitive root of unity,m>1 any integer.Let $\alpha _m=\xi _m+\xi _{m}^2+\cdots +\xi _m^{(m-1)/2}$ if m is odd and let $\beta _m$ be the product of the $integers1-=xi _m^i(1