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JOURNALS
// Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya
// Archive
Izv. RAN. Ser. Mat.,
2021
Volume 85,
Issue 2,
Pages
172–180
(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
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
Fulltext:
PDF file (432 kB)
References
English version:
Izvestiya: Mathematics, 2021,
85
:2,
332–340
Bibliographic databases:
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Steklov Math. Inst. of RAS
, 2024