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This article is cited in 1 scientific paper (total in 1 paper)
On an elementary version of I.M. Vinogradov's method
V. N. Chubarikov Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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.
Received: May 13, 2016
Citation:
V. N. Chubarikov, “On an elementary version of I.M. Vinogradov's method”, Analytic and combinatorial number theory, Collected papers. On the occasion of the 125th anniversary of the birth of Academician Ivan Matveevich Vinogradov, Trudy Mat. Inst. Steklova, 296, MAIK Nauka/Interperiodica, Moscow, 2017, 47–57; Proc. Steklov Inst. Math., 296 (2017), 41–51
Linking options:
https://www.mathnet.ru/eng/tm3790https://doi.org/10.1134/S0371968517010046 https://www.mathnet.ru/eng/tm/v296/p47
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