An analogue of a formula for Chebotarev Densities

Abstract

In this short note, we show an analogue of Dawsey's formula on Chebotarev densities for finite Galois extensions of $\mathbb{Q}$ with respect to the Riemann zeta function $\zeta (ms)$ for any integer $m⩾2$. Her formula may be viewed as the limit version of ours as $m\to \infty$.

8 pages

Cited by in corpus (4)

• Analogues of Alladi's formula
• Analogues of Alladi's formula over global function fields
• Generalizations of Alladi's formula for arithmetical semigroups
• The Ramanujan sum and Chebotarev densities