Abstract
We establish an unconditional effective Chebotarev density theorem that improves uniformly over the well-known result of Lagarias and Odlyzko. As a consequence, we give a new asymptotic form of the Chebotarev density theorem that can count much smaller primes with arbitrary log-power savings, even in the case where a Landau–Siegel zero is present. Our main theorem also interpolates the strongest unconditional upper bound for the least prime ideal with a given Artin symbol as well as the Chebotarev analogue of the Brun–Titchmarsh theorem proved by the authors.
Citation
Jesse Thorner. Asif Zaman. "A unified and improved Chebotarev density theorem." Algebra Number Theory 13 (5) 1039 - 1068, 2019. https://doi.org/10.2140/ant.2019.13.1039
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