Geodesic
Exact value of the exponent of~convergence of~the~singular~integral in Tarry's problem for~homogeneous polynomials of degree~$n$ in two variables
Izvestiya. Mathematics , Tome 85 (2021) no. 2, pp. 332-340

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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. 
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     author = {M. A. Chahkiev},
     title = {Exact value of the exponent of~convergence of~the~singular~integral in {Tarry's} problem for~homogeneous polynomials of degree~$n$ in two variables},
     journal = {Izvestiya. Mathematics },
     pages = {332--340},
     publisher = {mathdoc},
     volume = {85},
     number = {2},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2021_85_2_a6/}
}
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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. Izvestiya. Mathematics , Tome 85 (2021) no. 2, pp. 332-340. http://geodesic.mathdoc.fr/item/IM2_2021_85_2_a6/