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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2020, Number 6, Pages 3–13 (Mi vmumm4359)  
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
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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
English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2020, Volume 75, Issue 6, Pages 227–238
DOI: https://doi.org/10.3103/S0027132220060030
Bibliographic databases:
Document Type: Article
UDC: 511.3
Language: Russian
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
Citation in format AMSBIB
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