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 $m\geqslant2$. Her formula may be viewed as the limit version of ours as $m\to\infty$.

Locations

• International Journal of Number Theory - View
• arXiv (Cornell University) - View - PDF
• DataCite API - View