Isroil A. Ikromov, Akbar R. Safarov, Akmal T. Absalamov, “On the convergence exponent of the special integral of the tarry problem for a quadratic polynomial”, J. Sib. Fed. Univ. Math. Phys., 2023, Volume 16, Issue 4,Pages <nobr>488

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On the convergence exponent of the special integral of the tarry problem for a quadratic polynomial

Isroil A. Ikromov^ab, Akbar R. Safarov^cb, Akmal T. Absalamov^b

^a Institute of Mathematics named after V. I. Romanovsky, Uzbekistan Academy of Sciences, Samarkand, Uzbekistan
^b Samarkand State University, Samarkand, Uzbekistan
^c Uzbek-Finnish Pedagogical Institute, Samarkand, Uzbekistan

Abstract: In this paper it is considered the summation problem for trigonometric integrals with quadratic phase. This problem was considered in the papers [7-9] in particular cases. Our results generalize the results of those papers to multidimensional trigonometrical integrals.

Keywords: trigonometrical integral, exponent, sums, phase, polynomial.

UDC: 517.518.5

Received: 03.04.2023
Received in revised form: 05.05.2023
Accepted: 20.06.2023

Language: English