The Ramanujan sum and Chebotarev densities

preprint2020arXivOpen access

In this short note, we show an analogue of one of Alladi's and Dawsey's formulas with respect to the Ramanujan sum $c_n(m)$ for $m\geq1$ . Their formulas may be viewed as the case $m=1$ in our result.

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The Ramanujan sum and Chebotarev densities

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