| Bernoulli数与判别素数的充要条件 |
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| 引用本文： | 王云葵,马武瑜.Bernoulli数与判别素数的充要条件[J].华侨大学学报(自然科学版),2000,21(3):234-238. |
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| 作者姓名： | 王云葵 马武瑜 |
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| 作者单位： | 广西民族学院数学与计算机科学系,南宁,530006 |
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| 基金项目： | 广西民族学院校科研和教改项目,, |
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| 摘 要： | 利用等幂和与判别素数的充要条件及等幂和与Ｂｅｒｎｏｕｌｌｉ数的同余关系,获得与Ｂｅｒｎｏｕｌｌｉ数有关的判别素数的充要条件,还得到整除Ｂｅｒｎｏｕｌｌｉ数的充要条件。
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| 关 键 词： | Bernoulli数 充要条件 素数 判别 等幂和 |
| 修稿时间： | 1999-11-18 |
Necessary and Sufficient Condition for Bernoulli's Numbers and Discriminant Prime Numbers |
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| Wang Yunkui,Ma Wuyu.Necessary and Sufficient Condition for Bernoulli's Numbers and Discriminant Prime Numbers[J].Journal of Huaqiao University(Natural Science),2000,21(3):234-238. |
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| Authors: | Wang Yunkui Ma Wuyu |
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| Abstract: | By using necessary and sufficient condition for sum of equal powers and discriminant prime numbers as well as congruent relations between sum of equal powers and Bernoulli's numbers, the authors obtain necessary and sufficient condition for discriminant prime numbers relating to Bernoulli's numbers and also necessary and sufficient condition for the exact division of Bernoulli's numbers. |
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| Keywords: | sum of equal powers Bernoulli's numbers necessary and sufficient condition |
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