Convergence Exponent of a Special Integral in the Two-Dimensional Tarry Problem with Homogeneous Polynomial of Degree 2

Аннотация

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.