Über die Verteilung von primen primitiven Wurzeln in algebraischen Zahlkörpern |
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Authors: | Jürgen G. Hinz |
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Affiliation: | (1) Fachbereich Mathematik, Universität Marburg, Lahnberge, D-3550 Marburg, Bundesrepublik Deutschland |
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Abstract: | Generalizing a method introduced by Elliott in the rational case to number fields in an appropriate way, asymptotic estimates are given for the number of algebraic primes in certain parallelotopes which are primitive roots for almost all (in a certain sense) prime ideal moduli. The proofs depend upon a fundamental lemma of Selberg's rational sieve method and make use of the large sieve in the setting of an algebraic number field. |
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