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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2013, Volume 13, Issue 4(2), Pages 113–117
DOI: https://doi.org/10.18500/1816-9791-2013-13-4-113-117 (Mi isu469) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Mathematics

Distribution of values of Dirichlet characters in the sequence of shifted primes

Z. Kh. Rakhmonov

Institute ofMathematics, Academy of Sciences of the Republic of Tajikistan, 734063, Dushanbe, Ayni st., 83
Full-text PDF (147 kB) Citations (5)
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DOI: https://doi.org/10.18500/1816-9791-2013-13-4-113-117
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 $p-l$, $(l,q)=1$, $p\le x$. 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 $x\ge q^{8/9+\varepsilon}$.
Key words: Dirichlet character, shifted primes, short sums of characters, exponential sums over primes.
Bibliographic databases:
Document Type: Article
UDC: 511.325
Language: Russian
Citation: Z. Kh. Rakhmonov, “Distribution of values of Dirichlet characters in the sequence of shifted primes”, Izv. Saratov Univ. Math. Mech. Inform., 13:4(2) (2013), 113–117
Citation in format AMSBIB
\Bibitem{Rak13}
\by Z.~Kh.~Rakhmonov
\paper Distribution of values of Dirichlet characters in the sequence of shifted primes
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2013
\vol 13
\issue 4(2)
\pages 113--117
\mathnet{http://mi.mathnet.ru/isu469}
\crossref{https://doi.org/10.18500/1816-9791-2013-13-4-113-117}
\elib{https://elibrary.ru/item.asp?id=21976915}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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