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Journal of Siberian Federal University. Mathematics & Physics, 2023, Volume 16, Issue 4, Pages 488–497
(Mi jsfu1096)
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This article is cited in 1 scientific paper (total in 1 paper)
On the convergence exponent of the special integral of the tarry problem for a quadratic polynomial
Isroil A. Ikromovab, Akbar R. Safarovcb, Akmal T. Absalamovb 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.
Received: 03.04.2023 Received in revised form: 05.05.2023 Accepted: 20.06.2023
Citation:
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., 16:4 (2023), 488–497
Linking options:
https://www.mathnet.ru/eng/jsfu1096 https://www.mathnet.ru/eng/jsfu/v16/i4/p488
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Abstract page: | 102 | Full-text PDF : | 32 | References: | 16 |
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