CONSTRUCTIONS OF POWER BASES OF CYCLOTOMIC FIELDS |
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作者姓名: | Luo Chenghui |
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作者单位: | Department of |
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摘 要: | Suppose Q(ζ_m) is the m-th cyclotomic number field, where ζ_m is an m-th primitive root of unity, m>1 any integer. Let a_m=ζ_m+ζ_m~2+...+ζ_m~((m-1)/2) if m is odd and let β_m be the product of the integersl-ζ_m(1
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收稿时间: | 6/8/1990 12:00:00 AM |
CONSTRUCTIONS OF POWER BASES OF CYCLOTOMIC FIELDS |
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Institution: | Department of Mathematics,University of Science and Technology of China,Hefei,Anhui 340036,China. |
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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
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