The Ramanujan sum and Chebotarev densities
Number Theory
2020-08-11 v3
Abstract
In this short note, we show an analogue of one of Alladi's and Dawsey's formulas with respect to the Ramanujan sum for . Their formulas may be viewed as the case in our result.
Keywords
Cite
@article{arxiv.1911.01029,
title = {The Ramanujan sum and Chebotarev densities},
author = {Biao Wang},
journal= {arXiv preprint arXiv:1911.01029},
year = {2020}
}
Comments
The main result has been generalized in the article "Analogues of Alladi's formula" (arXiv:2003.07170)