Geodesic
The~exponent of~convergence of~a~special integral in~multidimensional problems Terry
Čebyševskij sbornik, Tome 14 (2013) no. 2, pp. 74-103

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In the present article new lower and upper bounds for the convergence exponent of the special integral of Tarry's problem are proven. The question on convergence is solved for a wide class of polynomials.
Keywords: Tarry's problem, special integral, convergence exponent, system of diophantine equations, Gram determinant, surface integrals. 
@article{CHEB_2013_14_2_a6,
     author = {Ilgar Shikar oglu Jabbarov},
     title = {The~exponent of~convergence of~a~special integral in~multidimensional problems {Terry}},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {74--103},
     publisher = {mathdoc},
     volume = {14},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2013_14_2_a6/}
}
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Ilgar Shikar oglu Jabbarov. The~exponent of~convergence of~a~special integral in~multidimensional problems Terry. Čebyševskij sbornik, Tome 14 (2013) no. 2, pp. 74-103. http://geodesic.mathdoc.fr/item/CHEB_2013_14_2_a6/