Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)


For citation:

Rakhmonov Z. K. Distribution of Values of Dirichlet Characters in the Sequence of Shifted Primes. Izv. Sarat. Univ. Math. Mech. Inform., 2013, vol. 13, iss. 4, pp. 113-117. DOI: 10.18500/1816-9791-2013-13-4-113-117

Published online: 
25.11.2013
Full text:
(downloads: 33)
Language: 
Russian
Heading: 
UDC: 
511.325
DOI: 
10.18500/1816-9791-2013-13-4-113-117

Distribution of Values of Dirichlet Characters in the Sequence of Shifted Primes

Autors: 
Rakhmonov Zarullo Khusenovich, Dzhuraev Institute of Mathematics, Academy of Sciences of Republic of Tajikistan, Dushanbe, Tajikistan
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

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