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    The most beautiful chain of equalities I have ever seen

    I was doing some basic analysis of the Dedekind eta function and some Dirichlet series and the following equality just fell out: \sum_{k=1}^\infty\frac{\mu (k)-\varphi (k)}{k}\log \left( 1-\frac{1}{\phi^k} \right) = \prod_{k=1}^\infty \left( 1-\frac{1}{\phi^k} \right)^{2\pi i\frac{\mu...
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