This article is cited in 1 paper

Exact value of the exponent of convergence of the singular integral in Tarry's problem for homogeneous polynomials of degree $n$ in two variables

M. A. Chahkiev

Russian State Social University, Moscow

Abstract: Jabbarov [1] obtained the exact value of the exponent of convergence of the singular integral in Tarry's problem for homogeneous polynomials of degree $2$. We extend this result to the case of polynomials of degree $n$.

Keywords: oscillatory integrals, singular integral, Tarry's problem.

UDC: 517.5

MSC: 11D72, 11L99, 11B75

Received: 25.12.2019
Revised: 13.07.2020

DOI: 10.4213/im9004

 English version: Izvestiya: Mathematics, 2021, 85:2, 332–340

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