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Zeta

Usage

Zeta[s] 给出 Riemann Zeta 函数  .
Zeta[s, a] 给出推广的 Riemann Zeta 函数  .


Notes

• 数学函数(参见 节 A.3.10).
 .
 , 其中去掉  的任何项。
Zeta[s] 有一个不连续分支线。
FullSimplifyFunctionExpand包括Zeta的变换规则。
• 参见Mathematica 全书: 3.2.10.
• 实现注释: 参见节 A.9.4.
• 相关包: NumberTheory`Ramanujan`.
Further Examples

If the real part of s is greater than  , this sum is Zeta[s].

In[1]:=  

Out[1]=

Exact values can be calculated at the positive even integers.

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You can use FullSimplify and FunctionExpand to simplify some expressions involving the generalized Riemann zeta function.

In[3]:=  

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