Geodesic
Convergence Exponent of a Special Integral in the Two-Dimensional Tarry Problem with Homogeneous Polynomial of Degree~2
Matematičeskie zametki, Tome 105 (2019) no. 3, pp. 375-382

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The exact value of the convergence exponent of the special integral in the two-dimensional Tarry problem with a homogeneous polynomial of second degree in the exponent of the imaginary exponential is obtained. The result is based on a representation of the trigonometric integral as a Fourier transform.
Keywords: Tarry problem, special integral, convergence exponent, Plancherel's theorem, Hausdorff–Young inequality.
Mots-clés : Fourier transform 
@article{MZM_2019_105_3_a4,
     author = {I. Sh. Jabbarov},
     title = {Convergence {Exponent} of a {Special} {Integral} in the {Two-Dimensional} {Tarry} {Problem} with {Homogeneous} {Polynomial} of {Degree~2}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {375--382},
     publisher = {mathdoc},
     volume = {105},
     number = {3},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2019_105_3_a4/}
}
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I. Sh. Jabbarov. Convergence Exponent of a Special Integral in the Two-Dimensional Tarry Problem with Homogeneous Polynomial of Degree~2. Matematičeskie zametki, Tome 105 (2019) no. 3, pp. 375-382. http://geodesic.mathdoc.fr/item/MZM_2019_105_3_a4/