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@article{MZM_2019_105_3_a4, author = {I. Sh. Jabbarov}, title = {Convergence {Exponent} of a {Special} {Integral} in the {Two-Dimensional} {Tarry} {Problem} with {Homogeneous} {Polynomial} of {Degree~2}}, journal = {Matemati\v{c}eskie zametki}, pages = {375--382}, publisher = {mathdoc}, volume = {105}, number = {3}, year = {2019}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MZM_2019_105_3_a4/} }
TY - JOUR AU - I. Sh. Jabbarov TI - Convergence Exponent of a Special Integral in the Two-Dimensional Tarry Problem with Homogeneous Polynomial of Degree~2 JO - Matematičeskie zametki PY - 2019 SP - 375 EP - 382 VL - 105 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2019_105_3_a4/ LA - ru ID - MZM_2019_105_3_a4 ER -
%0 Journal Article %A I. Sh. Jabbarov %T Convergence Exponent of a Special Integral in the Two-Dimensional Tarry Problem with Homogeneous Polynomial of Degree~2 %J Matematičeskie zametki %D 2019 %P 375-382 %V 105 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/MZM_2019_105_3_a4/ %G ru %F MZM_2019_105_3_a4
I. Sh. Jabbarov. Convergence Exponent of a Special Integral in the Two-Dimensional Tarry Problem with Homogeneous Polynomial of Degree~2. Matematičeskie zametki, Tome 105 (2019) no. 3, pp. 375-382. http://geodesic.mathdoc.fr/item/MZM_2019_105_3_a4/
[1] I. M. Vinogradov, Metod trigonometricheskikh summ v teorii chisel, Nauka, M., 1971 | MR | Zbl
[2] I. M. Vinogradov, A. A. Karatsuba, “Metod trigonometricheskikh summ v teorii chisel”, Algebra, matematicheskaya logika, teoriya chisel, topologiya, Tr. MIAN SSSR, 168, 1984, 4–30 | MR | Zbl
[3] G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, “Trigonometricheskie integraly”, Izv. AN SSSR. Ser. matem., 43:5 (1979), 971–1003 | MR | Zbl
[4] G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, “Kratnye trigonometricheskie summy i ikh prilozheniya”, Izv. AN SSSR. Ser. matem., 44:4 (1980), 723–781 | MR | Zbl
[5] V. N. Chubarikov, “Ob odnom kratnom trigonometricheskom integrale”, Dokl. AN SSSR, 227:6 (1976), 1308–1310 | MR | Zbl
[6] V. N. Chubarikov, “O kratnykh ratsionalnykh trigonometricheskikh summakh i kratnykh integralakh”, Matem. zametki, 20:1 (1976), 61–68 | MR | Zbl
[7] Hua Loo Keng, “On the number of solutions of Tarry's problem”, Acta Sci. Sinica, 1:1 (1952), 1–76 | MR
[8] G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, “Kratnye trigonometricheskie summy”, Tr. MIAN SSSR, 151, 1980, 3–128 | MR | Zbl
[9] G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, Teoriya kratnykh trigonometricheskikh summ, Nauka, M., 1987 | MR | Zbl
[10] I. Sh. Dzhabbarov, “Ob odnom tozhdestve garmonicheskogo analiza i ego prilozheniyakh”, Dokl. AN SSSR, 314:5 (1990), 1052–1054 | MR | Zbl
[11] I. Sh. Dzhabbarov, “Ob otsenkakh trigonometricheskikh integralov”, Teoriya chisel i analiz, Tr. MIAN, 207, Nauka, M., 1994, 82–92 | MR | Zbl
[12] I. Sh. Dzhabbarov, “Ob otsenkakh trigonometricheskikh integralov”, Chebyshevskii sb., 11:1 (2010), 85–108 | MR | Zbl
[13] V. N. Chubarikov, “Kratnye trigonometricheskie summy”, Chebyshevskii sb., 12:4 (2011), 134–173 | MR | Zbl
[14] V. N. Chubarikov, “Mnogomernye problemy teorii prostykh chisel”, Chebyshevskii sb., 12:4 (2011), 174–263 | MR | Zbl
[15] I. Sh. Dzhabbarov, “O pokazatele skhodimosti osobogo integrala dvumernoi problemy Terri”, Uch. zap. Orlovskogo gos. un-ta, 6 (2012), 80–89
[16] I. Sh. Dzhabbarov, “O pokazatele skhodimosti osobogo integrala mnogomernoi problemy Terri”, Chebyshevskii sb., 14:2 (2013), 74–103
[17] I. A. Ikromov, “On the convergence exponent of trigonometric integrals”, Analiticheskaya teoriya chisel i prilozheniya, Tr. MIAN, 218, Nauka, M., 1997, 179–189 | MR | Zbl
[18] M. A. Chakhkiev, “O pokazatele skhodimosti osobogo integrala mnogomernogo analoga problemy Terri”, Izv. RAN. Ser. matem., 67:2 (2003), 211–224 | DOI | MR | Zbl
[19] A. Zigmund, Trigonometricheskie ryady, T. 2, Mir, M., 1965 | MR | Zbl