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Line 68: {{unreferenced section\|date=September 2020}} The Riemann-~~Weyl~~Weil formula{{clarify\|reason=A formula by this name is not mentioned in the article.\|date=September 2020}} can be generalized to arithmetical functions other than the von Mangoldt function. For example for the Möbius function we have : <math> \sum_{n=1}^{\infty} \frac{\mu(n)}{\sqrt{n}}g(\log n)=\sum_{\rho}\frac{h( \gamma)}{\zeta '( \rho )} + \sum_{n=1}^{\infty} \frac{1}{\zeta ' (-2n)} \int_{-\infty}^{\infty}dxg(x)e^{-(2n+1/2)x} .</math>

Explicit formulae for L-functions: Difference between revisions