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riemann_zeta

Overloads​

NameDescription
riemann_zeta(real x) -> realEvaluates the Riemann zeta function at the given position. The Riemann zeta function is defined as:...
riemann_zeta(integer x) -> realEvaluates the Riemann zeta function at the given position. The Riemann zeta function is defined as:...
riemann_zeta(bool x) -> realEvaluates the Riemann zeta function at the given position. The Riemann zeta function is defined as:...

riemann_zeta(real x) -> real​

Evaluates the Riemann zeta function at the given position. The Riemann zeta function is defined as:

ζ(s)=∑n=1∞1ns\zeta(s) = \sum_{n=1}^{\infty} \frac{1}{n^s}

Parameters​

  • x: The value at which the function is evaluated.

riemann_zeta(integer x) -> real​

Evaluates the Riemann zeta function at the given position. The Riemann zeta function is defined as:

ζ(s)=∑n=1∞1ns\zeta(s) = \sum_{n=1}^{\infty} \frac{1}{n^s}

Parameters​

  • x: The value at which the function is evaluated.

riemann_zeta(bool x) -> real​

Evaluates the Riemann zeta function at the given position. The Riemann zeta function is defined as:

ζ(s)=∑n=1∞1ns\zeta(s) = \sum_{n=1}^{\infty} \frac{1}{n^s}

Parameters​

  • x: The value at which the function is evaluated.