Метод И.М. Виноградова в теории чисел и его современное развитие

DOI10.1134/S0371968517010010zbMath1437.11033OpenAlexW2606660700MaRDI QIDQ5239653

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/cheb400

zbMATH Keywords

functional equationVinogradov's method of trigonometric sumsarithmetic sum oscillatory integralsaverage values of convergence exponent arithmetic sums and oscillatory integralsGauss theorem for multiplication of Euler gamma functionpolynomials Bernoulliproblems Hua Loo-Keng

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Gamma, beta and polygamma functions (33B15) Trigonometric and exponential sums (general theory) (11L03) Class numbers of quadratic and Hermitian forms (11E41)

Related Items (2)

I. M. Vinogradov's method in number theory and its current development ⋮ Об одном элементарном варианте метода И.М. Виноградова

Cites Work

• Mean-value theorem for the modulus of multiple trigonometric sums
• Multiple rational trigonometric sums and multiple integrals
• Trigonometric sums in number theory and analysis. Transl. from the Russian
• TRIGONOMETRIC INTEGRALS
• AN IMPROVEMENT OF VINOGRADOV'S MEAN-VALUE THEOREM AND SEVERAL APPLICATIONS
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