Geodesic
On the distribution of norms of prime ideals of the given class in arithmetic progressions
Zapiski Nauchnykh Seminarov POMI, Proceedings on number theory, Tome 322 (2005), pp. 45-62

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Let $\mathcal C$ be a class of ideals of the ring of algebraic numbers of the imaginary quadratic field. Let $l$ and $q$ be relatively prime integers, $1\le q\le\log^{A_1}x$, $A_1>1$. The asymptotic formula for the number $\pi_1(x,q,l,\mathcal C)$ of prime ideals belonging to the class $\mathcal C$ whose norms do not exceed $x$ and lie in an arithmetic progression got in this paper. 
@article{ZNSL_2005_322_a3,
     author = {S. A. Gritsenko},
     title = {On the distribution of norms of prime ideals of the given class in arithmetic progressions},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {45--62},
     publisher = {mathdoc},
     volume = {322},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2005_322_a3/}
}
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S. A. Gritsenko. On the distribution of norms of prime ideals of the given class in arithmetic progressions. Zapiski Nauchnykh Seminarov POMI, Proceedings on number theory, Tome 322 (2005), pp. 45-62. http://geodesic.mathdoc.fr/item/ZNSL_2005_322_a3/