Geodesic
On multiple trigonometric sums related with prime numbers
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2020), pp. 3-13

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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. 
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     author = {V. N. Chubarikov},
     title = {On multiple trigonometric sums related with prime numbers},
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V. N. Chubarikov. On multiple trigonometric sums related with prime numbers. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2020), pp. 3-13. http://geodesic.mathdoc.fr/item/VMUMM_2020_6_a0/