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Izvestiya: Mathematics, 2021, Volume 85, Issue 2, Pages 332–340
DOI: https://doi.org/10.1070/IM9004 (Mi im9004) 		 
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
English version PDF (424 kB) Russian version article
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DOI: https://doi.org/10.1070/IM9004
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.
Received: 25.12.2019
Revised: 13.07.2020
Bibliographic databases:
Document Type: Article
UDC: 517.5
MSC: 11D72, 11L99, 11B75
Language: English
Original paper language: Russian
Citation: M. A. Chahkiev, “Exact value of the exponent of convergence of the singular integral in Tarry's problem for homogeneous polynomials of degree $n$ in two variables”, Izv. Math., 85:2 (2021), 332–340
Citation in format AMSBIB
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\by M.~A.~Chahkiev
\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
\jour Izv. Math.
\yr 2021
\vol 85
\issue 2
\pages 332--340
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    References:58
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