| 循环数域导子的一点注记 |
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| 引用本文： | 赵正俊,孙广人.循环数域导子的一点注记[J].数学学报,2016,59(6):761-766. |
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| 作者姓名： | 赵正俊 孙广人 |
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| 作者单位： | 安庆师范大学数学与计算科学学院 安庆 246133 |
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| 基金项目： | 国家自然科学基金资助项目（11601009）；安徽省自然科学基金青年基金资助项目（1608085QA04） |
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| 摘 要： | 主要研究循环数域的导子公式.利用Kronecker-Weber定理及整体域的分歧理论,对于给定除子分歧个数的素数次循环扩域,明确给出了这类数域的导子公式及其个数.
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| 关 键 词： | 导子 数域 循环扩张 |
A Note on the Conductor of Cyclic Number Fields |
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| Zheng Jun ZHAO,Guang Ren SUN.A Note on the Conductor of Cyclic Number Fields[J].Acta Mathematica Sinica,2016,59(6):761-766. |
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| Authors: | Zheng Jun ZHAO Guang Ren SUN |
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| Institution: | School of Mathematics and Computational Science, Anqing Normal University, Anqing 246133, P. R. China |
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| Abstract: | We mainly focus our attention on the ramification of primes in cyclic num-ber fields. By the Kronecker-Weber theorem and Hilbert ramification theory for global fields, we present explicitly in this note the formula for conductor of cyclic number fields, which the number of ramified primes is fixed in advance, with prime degree over rational number fields. |
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| Keywords: | conductor number fields cyclic extension |
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