Sum of Reciprocals of Powers as Euler Product/Corollary 2/Examples
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Examples of Use of Sum of Reciprocals of Powers as Euler Product/Corollary 2
Example: $\ds \prod_{\text {$p$ prime} } \paren {\frac {1 + p^{-2} } {1 - p^{-2} } }$
- $\ds \prod_{\text {$p$ prime} } \paren {\frac {1 + p^{-2} } {1 - p^{-2} } } = \dfrac 5 2$
Example: $\ds \prod_{\text {$p$ prime} } \paren {\frac {1 + p^{-4} } {1 - p^{-4} } }$
- $\ds \prod_{\text {$p$ prime} } \paren {\frac {1 + p^{-4} } {1 - p^{-4} } } = \dfrac 7 6$