Об одном элементарном варианте метода И.М. Виноградова

DOI10.1134/S0371968517010046zbMath1435.11127OpenAlexW2605385049MaRDI QIDQ5239702

V. N. Chubarikov

Publication date: 22 October 2019

Published in: Труды математического института им. Стеклова (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/cheb447

zbMATH Keywords

Bernoulli polynomialscomplete rational arithmetical sumsfunctional equation on complete system of residues by modulo of natural numberGauss theorem of multiplication for Euler gamma-function

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Gamma, beta and polygamma functions (33B15) Exponential sums and character sums (11L99)

Related Items (5)

On an elementary version of I. M. Vinogradov's method ⋮ Multiple complete rational arithmetic sums of polynomial values ⋮ On complete rational arithmetic sums of polynomial values ⋮ A cubature formula for periodic functions ⋮ Convergence exponent of a singular series for a multi-dimensional problem

Cites Work

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• On the convergence exponent of the singular integral of a multivariate additive problem
• Reversible phenotypic plasticity with continuous adaptation
• Trigonometric sums in number theory and analysis. Transl. from the Russian
• Multiple Franel integrals
• Метод И.М. Виноградова в теории чисел и его современное развитие
• Об одном элементарном варианте метода И.М. Виноградова
• AN IMPROVEMENT OF VINOGRADOV'S MEAN-VALUE THEOREM AND SEVERAL APPLICATIONS

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