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Convergence for real $\delta>0$ of $\sum_{n=1}^\infty n^{\delta}\mu(n)G_n$, with $\mu(n)$ the Möbius function and $G_n$ the $n$th Gregory coefficient

By ExtraProxies | Proxy Quality | Comments are Closed | 4 January, 2018 | 0

Gregory coefficients $ G_n$ , I add as reference the Wikipedia’s article dedicated to this sequence here, and the Möbius function $ \mu(n)$ seem to keep valuable arithmetic information. With this motivation I was doing experiments with Wolfram Alpha online calculator (using a suitable representation for the mentioned Gregory coefficients) studying some cases of realRead more

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