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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2017, Volume 296, Pages 140–149
DOI: https://doi.org/10.1134/S0371968517010113 (Mi tm3768) 		 
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
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DOI: https://doi.org/10.1134/S0371968517010113
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
English version:
Proceedings of the Steklov Institute of Mathematics, 2017, Volume 296, Pages 132–141
DOI: https://doi.org/10.1134/S0081543817010114
Bibliographic databases:
Document Type: Article
UDC: 511.6
Language: Russian
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
Citation in format AMSBIB
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\paper Weil groups and the distribution of prime ideals
\inbook Analytic and combinatorial number theory
\bookinfo Collected papers. On the occasion of the 125th anniversary of the birth of Academician Ivan Matveevich Vinogradov
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\vol 296
\pages 140--149
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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