Weil groups and the distribution of prime ideals
- 作者: Kleberger T.1, Moroz B.Z.1,2
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隶属关系:
- Universität Bonn
- St. Petersburg Department of the Steklov Mathematical Institute of Russian Academy of Sciences
- 期: 卷 296, 编号 1 (2017)
- 页面: 132-141
- 栏目: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/174223
- DOI: https://doi.org/10.1134/S0081543817010114
- ID: 174223
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详细
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.
作者简介
T. Kleberger
Universität Bonn
Email: moroz@mpim-bonn.mpg.de
德国, Regina-Pacis-Weg 3, Bonn, D-53113
B. Moroz
Universität Bonn; St. Petersburg Department of the Steklov Mathematical Institute of Russian Academy of Sciences
编辑信件的主要联系方式.
Email: moroz@mpim-bonn.mpg.de
德国, Regina-Pacis-Weg 3, Bonn, D-53113; nab. Fontanka 27, St. Petersburg, 191023
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