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Probabilities.RiemannZeta Method
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Riemann Zeta function.

Syntax
C#
Visual Basic
public static TCplx RiemannZeta([In] TCplx Z, int n);
Parameters
Parameters 
Description 
[In] TCplx Z 
Defines complex value for which the Riemann zetao function is to be calculated. 
int n 
Defines used number of terms used in complex series approximation of Riemann zeta function. 
Returns

the Riemman zeta function.

Remarks

The Riemann zeta-function is the function of a complex variable z initially defined by the following infinite series: 

, 

for values of z with real part greater than one, and then analytically continued to all complex z <> 1. The zeta-function satisfies the following functional equation: 

, 

valid for all complex numbers z. Zeta function is related to Dirichlet Lambda and Eta functions by: 

 

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