can some one explain to me how is taking the logarithm of euler product gives you -sum(p)[log(1-p^s)]+log(s-1)=log[(s-1)z(s)]?(adsbygoogle = window.adsbygoogle || []).push({});

my question is coming after encoutering this equation in this text in page number 2: http://claymath.org/Millennium_Prize_Problems/Riemann_Hypothesis/_objects/Official_Problem_Description.pdf [Broken]

btw, does taking a logarithm out of a product gives you the summation or what?

thanks in advance.

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# Taking the logarithm of the euler product

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