Geodesic
Sums of characters over prime numbers
Izvestiya. Mathematics , Tome 4 (1970) no. 2, pp. 303-326

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In this paper we obtain a new estimate on the sum of the values $\boldsymbol\chi(p+k)$. 
@article{IM2_1970_4_2_a2,
     author = {A. A. Karatsuba},
     title = {Sums of characters over prime numbers},
     journal = {Izvestiya. Mathematics },
     pages = {303--326},
     publisher = {mathdoc},
     volume = {4},
     number = {2},
     year = {1970},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1970_4_2_a2/}
}
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A. A. Karatsuba. Sums of characters over prime numbers. Izvestiya. Mathematics , Tome 4 (1970) no. 2, pp. 303-326. http://geodesic.mathdoc.fr/item/IM2_1970_4_2_a2/