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Benedict Irwin edited Integration summation.tex
over 9 years ago
Commit id: 3500245404f9fea1f923c42f2e03d231eda8acc4
deletions | additions
diff --git a/Integration summation.tex b/Integration summation.tex
index aa2b620..7f04678 100644
--- a/Integration summation.tex
+++ b/Integration summation.tex
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Does there exist an integral that equals $\zeta(s)$...
\begin{equation}
\zeta(s)=\frac{1}{\Gamma(z)}\int_0^\infty \frac{x^{s-1}}{e^x-1} \dx
\\
(d)/(dx)(x^(s-1)/(e^x-1)) = ((e^x (s-x-1)-s+1) x^(s-2))/(e^x-1)^2
\end{equation}