Weil groups and the distribution of prime ideals
- Авторлар: Kleberger T.1, Moroz B.Z.1,2
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Мекемелер:
- Universität Bonn
- St. Petersburg Department of the Steklov Mathematical Institute of Russian Academy of Sciences
- Шығарылым: Том 296, № 1 (2017)
- Беттер: 132-141
- Бөлім: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/174223
- DOI: https://doi.org/10.1134/S0081543817010114
- ID: 174223
Дәйексөз келтіру
Аннотация
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.
Авторлар туралы
T. Kleberger
Universität Bonn
Email: moroz@mpim-bonn.mpg.de
Германия, Regina-Pacis-Weg 3, Bonn, D-53113
B. Moroz
Universität Bonn; St. Petersburg Department of the Steklov Mathematical Institute of Russian Academy of Sciences
Хат алмасуға жауапты Автор.
Email: moroz@mpim-bonn.mpg.de
Германия, Regina-Pacis-Weg 3, Bonn, D-53113; nab. Fontanka 27, St. Petersburg, 191023
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