| 摘要: |
| 利用Jordan不等式及Kober不等式,推导出Riemann Zeta 函数ζ(s)简捷的初等表达式（s为不小于2的整数）,并用此表达式可求出:当s为正偶数时,ζ(s)的准确值. |
| 关键词: 黎曼函数 三角函数的有限和 级数和 |
| DOI： |
| 分类号: |
| 基金项目: |
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| A simple elementary expression of Riemann function ζ(s) |
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XU Zhenhua
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Nantong Guanhe Secondary School
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| Abstract: |
| We find a simple elementary expression of ζ(s)=∑ 1/ns (s≥2) by Jordan inequality and Kober inequality,and evaluate the exact value of ζ(s)=∑ 1/ns when s is a positive even number. |
| Key words: Riemann function finite sum of trigonometric functions sum of series |
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