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

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

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

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Veröffentlicht in:Izvestiya. Mathematics 2021-04, Vol.85 (2), p.332-340
1. Verfasser: Chakhkiev, M. A.
Format: Artikel
Sprache:eng
Schlagworte:
Convergence
Integrals
Polynomials
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Zusammenfassung:Jabbarov [1] obtained the exact value of the exponent of convergence of the singular integral in Tarry’s problem for homogeneous polynomials of degree . We extend this result to the case of polynomials of degree .
ISSN:1064-5632
1468-4810
DOI:10.1070/IM9004