Weil groups and the distribution of prime ideals

Weil groups and the distribution of prime ideals

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 c...

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Veröffentlicht in:Proceedings of the Steklov Institute of Mathematics 2017, Vol.296 (1), p.132-141
Hauptverfasser: Kleberger, T., Moroz, B. Z.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung: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.
ISSN:0081-5438
1531-8605
DOI:10.1134/S0081543817010114