Geodesic
Distribution of values of Dirichlet characters in the sequence of shifted primes
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 4, pp. 113-117

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The new estimate for the sum of the values of a primitive Dirichlet character modulo an integer $q$ has been obtained over the sequence of shifted primes $p-l$, $(l,q)=1$, $p\le x$. This estimate is nontrivial for $x\ge q^{\frac56+\varepsilon}$ and refines the estimate obtained by J. B. Friedlander, K. Gong, I. E. Shparlinskii. Their estimate holds provided that $x\ge q^{8/9+\varepsilon}$. 
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     author = {Z. Kh. Rakhmonov},
     title = {Distribution of values of {Dirichlet} characters in the sequence of shifted primes},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
     pages = {113--117},
     publisher = {mathdoc},
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     number = {4},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ISU_2013_13_4_a18/}
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Z. Kh. Rakhmonov. Distribution of values of Dirichlet characters in the sequence of shifted primes. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 4, pp. 113-117. http://geodesic.mathdoc.fr/item/ISU_2013_13_4_a18/