On the Multidimensional Tarry Problem for a Cubic Polynomial
I. Sh. Dzhabbarov · Mathematical Notes · 2020
A new upper bound for the exponent of convergence of a special integral in the Tarry problem is obtained. The result is based on the representation of a special integral as a surface integral extended to the manifold of solutions of the system of equations of the Tarry problem. New estimates of the arising surface integrals reducing the estimation to the study of operators with discrete spectrum are obtained by using maximal minors.