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On Multiple Trigonometric Sums Related with Prime Numbers

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Abstract

Estimates of multiple trigonometric sums similar to the modern estimate of the zeta-sum are obtained. This allows estimating trigonometric sums twisted with the multivariate divisor function and corresponding sums with primes.

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Authors and Affiliations

  1. Chair of Mathematical and Computer Methods of Analysis, Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia

    V. N. Chubarikov

  2. Moscow Center for Fundamental and Applied Mathematics, Lomonosov Moscow State University, Moscow, Russia

    V. N. Chubarikov

Authors
  1. V. N. Chubarikov
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Correspondence to V. N. Chubarikov.

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Translated by E. Oborin

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Chubarikov, V.N. On Multiple Trigonometric Sums Related with Prime Numbers. Moscow Univ. Math. Bull. 75, 227–238 (2020). https://doi.org/10.3103/S0027132220060030

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  • DOI: https://doi.org/10.3103/S0027132220060030

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