| 实二次域上理想类的zeta-函数在-1处的值 |
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| 引用本文： | 陆洪文,焦荣政.实二次域上理想类的zeta-函数在-1处的值[J].数学年刊A辑(中文版),2002(6). |
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| 作者姓名： | 陆洪文 焦荣政 |
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| 作者单位： | 同济大学数学研究所，扬州大学数学系 上海 200092，江苏扬州 225002 |
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| 基金项目： | 国家自然科学基金(No.10171076)资助的项目 |
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| 摘 要： | 用连分数给出了实二次域理想类的zeta-函数-1处值的一个具体的计算公式.
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| 关 键 词： | 二次数域 zeta-函数 理想类 连分数 |
ON THE VALUES AT -1 OF ZETA-FUNCTIONS OF IDEAL CLASSES OF REAL QUADRATIC FIELDS |
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| LU Hongwen JIAO RongzhengInstitute of Mathematics,Tongji University Shanghai ,China.ON THE VALUES AT -1 OF ZETA-FUNCTIONS OF IDEAL CLASSES OF REAL QUADRATIC FIELDS[J].Chinese Annals of Mathematics,2002(6). |
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| Authors: | LU Hongwen JIAO RongzhengInstitute of Mathematics Tongji University Shanghai China |
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| Institution: | LU Hongwen JIAO RongzhengInstitute of Mathematics,Tongji University Shanghai 200092,China.Department of Mathematics,Yangzhou University 225002,Jiangsu,China. |
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| Abstract: | In this paper, for any ideal class of the real quadratic number fields, the authors give the obvious value at -1 of its zeta function, by using the continued fractions. |
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| Keywords: | Quadratic nuumber fields Zeta function Ideal classes Continued fraction |
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