# Is this product convergent

tpm
Following Euler if we define the product:

$$(x-2^{-s})(x-3^{-s}) (x-5^{-s})(x-7^{-s}).......=f(x)$$

taken over all primes and s > 1 ,what would be the value of f(x) ?? i believe that $$f(x,s)=1/Li_{s} (x)$$ (inverse of Polylogarithm) however i'm not 100 % sure, although for x=1 you get the inverse of Riemann Zeta

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