Cite this article as:
Rakhmonov Z. K. Distribution of Values of Dirichlet Characters in the Sequence of Shifted Primes. Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 2013, vol. 13, iss. 4, pp. 113-117. DOI: https://doi.org/10.18500/1816-9791-2013-13-4-113-117
Language:
Russian
Heading:
UDC:
511.325
Distribution of Values of Dirichlet Characters in the Sequence of Shifted Primes
Abstract:
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 ≤ x. This estimate is nontrivial for x ≥ q 5 6 +ε and refines the estimate obtained by J. B. Friedlander, K. Gong, I. E. Shparlinskii. Their estimate holds provided that x ≥ q 8/9+ε
Key words:
References
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