Sum of Reciprocals of Powers as Euler Product/Corollary 1/Examples
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Examples of Use of Sum of Reciprocals of Powers as Euler Product/Corollary 1
Example: $\ds \prod_{\text {$p$ prime} } \paren {1 + p^{-2} }$
- $\ds \prod_{\text {$p$ prime} } \paren {1 + p^{-2} } = \dfrac {15 } {\pi^2}$
Example: $\ds \prod_{\text {$p$ prime} } \paren {1 + p^{-4} }$
- $\ds \prod_{\text {$p$ prime} } \paren {1 + p^{-4} } = \dfrac {105 } {\pi^4}$