Möbius formulas for densities of sets of prime ideals

Abstract We generalize results of Alladi, Dawsey, and Sweeting and Woo for Chebotarev densities to general densities of sets of primes. We show that if K is a number field and S is any set of prime ideals with natural density $$\delta (S)$$δ(S) within the primes, then $$\begin{aligned} -\lim _{X \r...

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Bibliographic Details
Main Authors: Kural, Michael, McDonald, Vaughan, Sah, Ashwin
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer International Publishing 2021
Online Access:https://hdl.handle.net/1721.1/131373

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