Email this article On an elementary version of I.M. Vinogradov’s method
- Authors: Chubarikov V.N.1
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Affiliations:
- Faculty of Mechanics and Mathematics
- Issue: Vol 296, No 1 (2017)
- Pages: 41-51
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/174196
- DOI: https://doi.org/10.1134/S0081543817010047
- ID: 174196
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Abstract
We prove estimates for complete rational arithmetic sums of Bernoulli polynomials whose arguments are formed by the fractional parts of values of a polynomial with rational coefficients. The results are applied to the problem of finding the convergence exponent for the mean values of the sums under consideration.
About the authors
V. N. Chubarikov
Faculty of Mechanics and Mathematics
Author for correspondence.
Email: chubarik2009@live.ru
Russian Federation, Moscow, 119991
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