Article
On the Distribution of the Order of Number Field Elements Modulo Prime Ideals
Authors
Abstract
Let α be an algebraic integer in a number field K not a root of unity nor zero. In this paper we investigate under the assumption of the generalized Riemann hypothesis (GRH) the number of prime ideals p, such that the order ordp(α) lies in a fixed arithmetic progression. We also investigate the case, where p has to satisfy some congruence conditions.
Keywords
Artin’s conjecture, distribution of primes.
Citation
Ziegler, V. (2006). On the distribution of the order of number field elements modulo prime ideals. Uniform Distribution Theory, 1(1), 65–85.
V. Ziegler, “On the distribution of the order of number field elements modulo prime ideals,” Uniform Distribution Theory, vol. 1, no. 1, pp. 65–85, 2006.
Ziegler V. On the distribution of the order of number field elements modulo prime ideals. Uniform Distribution Theory. 2006;1(1):65–85.
Ziegler, V. (2006), ‘On the distribution of the order of number field elements modulo prime ideals’, Uniform Distribution Theory, 1(1), pp. 65–85.
Ziegler, Volker. “On the Distribution of the Order of Number Field Elements Modulo Prime Ideals.” Uniform Distribution Theory, vol. 1, no. 1, 2006, pp. 65–85.
Ziegler, Volker. “On the Distribution of the Order of Number Field Elements Modulo Prime Ideals.” Uniform Distribution Theory 1, no. 1 (2006): 65–85.
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Published by: Engineering Journals
