TRIGONOMETRIC INTEGRALS

DOI10.1070/IM1980v015n02ABEH001212zbMath0493.10040OpenAlexW4247915595MaRDI QIDQ3955449

G. I. Arkhipov, V. N. Chubarikov, Anatolii A. Karatsuba

Publication date: 1980

Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im1980v015n02abeh001212

zbMATH Keywords

upper bounds singular integral exponent of convergence Tarry-Escott problem multiple trigonometric sums Tarry's problem trigonometric integral incomplete Tarry's problem

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Estimates on character sums (11L40)

Related Items (16)

On boundedness of maximal operators associated with hypersurfaces ⋮ Summability of oscillatory integrals over parameters and the boundedness problem for Fourier transforms on curves ⋮ Unnamed Item ⋮ Letter to the editor: Addition to the paper ``On the convergence exponent of trigonometric integrals ⋮ Integrability of the Fourier transforms of measures concentrated on hypersurfaces ⋮ Scientific achievements of Anatolii Alekseevich Karatsuba ⋮ On estimates for oscillatory integrals with phase depending on parameters ⋮ Estimates of oscillatory integrals with a damping factor ⋮ Invariant estimates of two-dimensional oscillatory integrals ⋮ Approximate calculation of triple integrals of rapidly oscillating functions with the use of Lagrange polynomial interflation ⋮ Damped oscillatory integrals and maximal operators ⋮ Randol maximal functions and the integrability of the Fourier transform of measures ⋮ On sublevel set estimates and the Laplacian ⋮ Convergence exponent of a special integral in the two-dimensional Tarry problem with homogeneous polynomial of degree 2 ⋮ Exact value of the exponent of convergence of the singular integral in Tarry’s problem for homogeneous polynomials of degree in two variables ⋮ Метод И.М. Виноградова в теории чисел и его современное развитие

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