Arithmetic problems in the theory of Dirichlet characters
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 63 (2008) no. 4, pp. 641-690

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A survey of results related to the distribution of values of Dirichlet characters on sparse sets of positive integers is presented.
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     author = {A. A. Karatsuba},
     title = {Arithmetic problems in the theory of {Dirichlet} characters},
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A. A. Karatsuba. Arithmetic problems in the theory of Dirichlet characters. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 63 (2008) no. 4, pp. 641-690. http://geodesic.mathdoc.fr/item/RM_2008_63_4_a1/