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

Isroil A. Ikromov; Akbar R. Safarov; Akmal T. Absalamov

Geodesic

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

Isroil A. Ikromov ; Akbar R. Safarov ; Akmal T. Absalamov

Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 16 (2023) no. 4, pp. 488-497

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Résumé

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
Mots-clés : polynomial.

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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. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 16 (2023) no. 4, pp. 488-497. http://geodesic.mathdoc.fr/item/JSFU_2023_16_4_a6/