Email this article Weil groups and the distribution of prime ideals
- Authors: Kleberger T.1, Moroz B.Z.1,2
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Affiliations:
- Universität Bonn
- St. Petersburg Department of the Steklov Mathematical Institute of Russian Academy of Sciences
- Issue: Vol 296, No 1 (2017)
- Pages: 132-141
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/174223
- DOI: https://doi.org/10.1134/S0081543817010114
- ID: 174223
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Abstract
We generalize Chebotarev’s density theorem to Weil groups. Since the Artin–Weil conjecture on the integrality of the Artin–Hecke L-functions, constructed by A. Weil, has not been completely proved so far, we estimate the character sums both under and without the assumption of the validity of that conjecture.
About the authors
T. Kleberger
Universität Bonn
Email: moroz@mpim-bonn.mpg.de
Germany, Regina-Pacis-Weg 3, Bonn, D-53113
B. Z. Moroz
Universität Bonn; St. Petersburg Department of the Steklov Mathematical Institute of Russian Academy of Sciences
Author for correspondence.
Email: moroz@mpim-bonn.mpg.de
Germany, Regina-Pacis-Weg 3, Bonn, D-53113; nab. Fontanka 27, St. Petersburg, 191023
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