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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2020, Number 6, Pages 3–13
(Mi vmumm4359)
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Mathematics
On multiple trigonometric sums related with prime numbers
V. N. Chubarikovab a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Moscow Center for Fundamental and Applied Mathematics
Abstract:
Estimates of multiple trigonometric sums similar to the modern estimate of the zeta-sum are obtained. This allows us to estimate trigonometric sums twisted with the multivariate divisor function and corresponding sums with primes.
Key words:
multiple trigonometric sums, Dirichlet's characters, trigonometric sums twisted with the multivariate divisor function, analogue of the zeta-sum with primes, mean-value theorem for multiple trigonometric sums.
Received: 27.12.2019
Citation:
V. N. Chubarikov, “On multiple trigonometric sums related with prime numbers”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, no. 6, 3–13; Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 75:6 (2020), 227–238
Linking options:
https://www.mathnet.ru/eng/vmumm4359 https://www.mathnet.ru/eng/vmumm/y2020/i6/p3
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