Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2011, Number 3, Pages 56–60 (Mi vmumm690)  
This article is cited in 4 scientific papers (total in 4 papers)

Short notes

Estimate of quadratic trigonometric sums with prime numbers

F. Z. Rahmonov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (232 kB) Citations (4)
Abstract: An estimation of the modulus of an exponential sum over primes
$$ S_2(\alpha;x,1)=\sum_{n\le x}\Lambda(n) e(\alpha(n+1)^2) $$
is obtained, where $\alpha$ is approximated by a rational number with a large denominator.
Key words: exponential sum, prime numbers, Mobius function, Mangoldt function.
Received: 29.10.2010
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: F. Z. Rahmonov, “Estimate of quadratic trigonometric sums with prime numbers”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011, no. 3, 56–60
Citation in format AMSBIB
\Bibitem{Rah11}
\by F.~Z.~Rahmonov
\paper Estimate of quadratic trigonometric sums with prime numbers
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2011
\issue 3
\pages 56--60
\mathnet{http://mi.mathnet.ru/vmumm690}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2918871}
\zmath{https://zbmath.org/?q=an:1304.11080}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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