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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2011, Number 3, Pages 56–60
(Mi vmumm690)
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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
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
Citation:
F. Z. Rahmonov, “Estimate of quadratic trigonometric sums with prime numbers”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011, no. 3, 56–60
Linking options:
https://www.mathnet.ru/eng/vmumm690 https://www.mathnet.ru/eng/vmumm/y2011/i3/p56
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Abstract page: | 39 | Full-text PDF : | 24 |
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