Mathematical Research Letters

Volume 24 (2017)

Number 3

Remarks on the error term in Chebotarev’s density theorem

Pages: 679 – 687



Joël Bellaïche (Department of Mathematics, Brandeis University, Waltham, Massachusetts, U.S.A.)


We answer a question of Murty, Murty and Saradha on the best possible error term in Chebotarev’s density theorem, and a question of Serre on the first prime having a specified Frobenius in a given extension.

Received 24 October 2012

Published 1 September 2017