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On the distribution of norms of prime ideals of a given class in arithmetic progressions
Authors:S A Gritsenko
Institution:(1) Belgorod State University, Belgorod, Russia
Abstract:Let C be a class of ideals of the ring of algebraic numbers of an imaginary quadratic field. Let l and q be relatively prime integers, 
$$1 \leqslant q \leqslant \log ^{A_1 } x$$
, and A1 τ; 1. An asymptotic formula for the number π1(x, q, l, C) of prime ideals belonging to the class C whose norms do not exceed x and lie in an arithmetic progression is obtained in this paper. Bibliography: 6 titles. __________ Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 322, 2005, pp. 45–62.
Keywords:
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