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Weil groups and the distribution of prime ideals
T. Klebergera, B. Z. Morozab a Universität Bonn, D-53113 Bonn, Germany
b St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
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.
Received: April 20, 2016
Citation:
T. Kleberger, B. Z. Moroz, “Weil groups and the distribution of prime ideals”, Analytic and combinatorial number theory, Collected papers. On the occasion of the 125th anniversary of the birth of Academician Ivan Matveevich Vinogradov, Trudy Mat. Inst. Steklova, 296, MAIK Nauka/Interperiodica, Moscow, 2017, 140–149; Proc. Steklov Inst. Math., 296 (2017), 132–141
Linking options:
https://www.mathnet.ru/eng/tm3768https://doi.org/10.1134/S0371968517010113 https://www.mathnet.ru/eng/tm/v296/p140
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Abstract page: | 218 | Full-text PDF : | 53 | References: | 48 | First page: | 16 |
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