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math.NT2016★ 30 cited
A Chebotarev variant of the Brun-Titchmarsh theorem and bounds for the Lang-Trotter conjectures
Jesse Thorner, Asif Zaman
We improve the Chebotarev variant of the Brun-Titchmarsh theorem proven by Lagarias, Montgomery, and Odlyzko using the log-free zero density estimate and zero repulsion phenomenon…
math.NT2016★ 31 cited
An explicit bound for the least prime ideal in the Chebotarev density theorem
Jesse Thorner, Asif Zaman
We prove an explicit version of Weiss' bound on the least norm of a prime ideal in the Chebotarev density theorem, which is itself a significant improvement on the work of Lagarias…