| 关于代数数方幂的迹 |
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| 引用本文： | 乐茂华.关于代数数方幂的迹[J].高师理科学刊,2009,29(1). |
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| 作者姓名： | 乐茂华 |
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| 作者单位： | 湛江师范学院,数学系,广东,湛江,524048 |
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| 基金项目： | 国家自然科学基金，广东省自然科学基金 |
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| 摘 要： | 运用初等的代数方法证明了存在n次代数数α,可使α不是代数整数,但是迹Tr(αm)(m=1,2,L,n(1+log2n)-1)都是整数.
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| 关 键 词： | 代数数 代数整数 迹 |
On the traces of powers of algebraic numbers |
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| LE Mao-hua.On the traces of powers of algebraic numbers[J].Journal of Science of Teachers＇College and University,2009,29(1). |
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| Authors: | LE Mao-hua |
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| Institution: | Department of Mathematics;Zhanjiang Normal College;Zhanjiang 524048;China |
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| Abstract: | Using some elementary algebraic methods,proven that there exists some algebraic numberα such thatα is not an algebraic integer,but the trace Tr(α m)is an integer for m = 1,2,L,n(1+logn2)-1,wherenis the degree of α. |
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| Keywords: | algebraic number algebraic integer trace |
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