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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2019, Number 1, Pages 54–57
(Mi vmumm601)
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This article is cited in 1 scientific paper (total in 1 paper)
Short notes
On a certain mean value theorem
V. N. Chubarikov Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
Asymptotics for mean value of complete rational trigonometric sums modulo a power of a prime number are obtained. For polynomials of one variable these asymptotics are not improvable in the degree of averaging of those sums.
Key words:
additive problem, asymptotics for the number of solution to a system of comparisons, singular series, convergence exponent.
Received: 20.06.2018
Citation:
V. N. Chubarikov, “On a certain mean value theorem”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019, no. 1, 54–57; Moscow University Mathematics Bulletin, 74:1 (2019), 35–37
Linking options:
https://www.mathnet.ru/eng/vmumm601 https://www.mathnet.ru/eng/vmumm/y2019/i1/p54
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