Quote:
Originally Posted by wildrabbitt
I just wrote what was written in the book.
I'm pretty sure it's supposed to be
\(\log \frac{1}{x} \)
otherwise it would have been written the way you wrote.
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Ah, log(1/x), not 1/log(x). OK, now I see a Gamma-function integral in prospect in your second equation. (x = exp
-u, scribble scribble, u = t/n, scribble scribble...)
Your second equation is wrong. It should be
n^{-s}=\int_0^1 x^{n-1}(\log x^{-1})^{s-1} \mathrm{d}x)
(It is n
-s on the left side, not n
-1)