Persons: Arkhipov Gennadii Ivanovich

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Arkhipov Gennadii Ivanovich

Statistics Math-Net.Ru
Total publications:	25
Scientific articles:	21
Citations to the author:	84
Cited articles:	16
Citing authors:	17

Number of views:
This page:	928
Abstract pages:	2420
Full texts:	614
References:	103

Scientific status:

Professor

Scientific degree:

Doctor of physico-mathematical sciences

E-mail:

UDC:

517.5, 511, 511.3

List of publications on Google Scholar

List of publications on ZentralBlatt

Personal webpage on MathSciNet

Publications in Math-Net.Ru

1.	On the Vinogradov Additive Problem G. I. Arkhipov, V. N. Chubarikov Mat. Zametki, 2010, 88:3, 325–339
2.	Asymptotic formula for the number of points of a lattice in the circle on the Lobachevsky plane G. I. Arkhipov, V. N. Chubarikov Diskr. Mat., 2006, 18:4, 9–17
3.	On the power of a singular set in binary additive problems with prime numbers G. I. Arkhipov, K. Buriev, V. N. Chubarikov Tr. Mat. Inst. Steklova, 1997, 218, 28–57
4.	On the mathematical papers of Professor A. A. Karatsuba G. I. Arkhipov, V. N. Chubarikov Tr. Mat. Inst. Steklova, 1997, 218, 7–19
5.	On a special trigonometric series and its applications G. I. Arkhipov, K. I. Oskolkov Mat. Sb. (N.S.), 1987, 134(176):2(10), 147–157
6.	On Waring's problem with nonintegral exponent G. I. Arkhipov, A. N. Zhitkov Izv. Akad. Nauk SSSR Ser. Mat., 1984, 48:6, 1138–1150
7.	On he Hilbert–Kamke problem G. I. Arkhipov Izv. Akad. Nauk SSSR Ser. Mat., 1984, 48:1, 3–52
8.	Special cases of the theory of multiple trigonometric sums G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov Izv. Akad. Nauk SSSR Ser. Mat., 1983, 47:4, 707–784
9.	A problem in the theory of congruences G. I. Arkhipov, A. A. Karatsuba Uspekhi Mat. Nauk, 1982, 37:5(227), 161–162
10.	On local representation of zero by a form G. I. Arkhipov, A. A. Karatsuba Izv. Akad. Nauk SSSR Ser. Mat., 1981, 45:5, 948–961
11.	Multiple trigonometric sums and their applications G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov Izv. Akad. Nauk SSSR Ser. Mat., 1980, 44:4, 723–781
12.	Multiple trigonometric sums G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov Trudy Mat. Inst. Steklov., 1980, 151, 3–128
13.	Trigonometric integrals G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov Izv. Akad. Nauk SSSR Ser. Mat., 1979, 43:5, 971–1003
14.	Distribution of fractional parts of polynomials in several variables G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov Mat. Zametki, 1979, 25:1, 3–14
15.	A sharp estimate for the number of solutions of a system of Diophantine equations G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov Izv. Akad. Nauk SSSR Ser. Mat., 1978, 42:6, 1187–1226
16.	A new estimate of an integral of I. M. Vinogradov G. I. Arkhipov, A. A. Karatsuba Izv. Akad. Nauk SSSR Ser. Mat., 1978, 42:4, 751–762
17.	Mean value of Weyl sums G. I. Arkhipov Mat. Zametki, 1978, 23:6, 785–788
18.	An upper bound of the modulus of a multiple trigonometric sum G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov Trudy Mat. Inst. Steklov., 1977, 143, 3–31
19.	Multiple trigonometric sums G. I. Arkhipov, V. N. Chubarikov Izv. Akad. Nauk SSSR Ser. Mat., 1976, 40:1, 209–220
20.	Estimates for Weyl's double trigonometric sums G. I. Arkhipov Trudy Mat. Inst. Steklov., 1976, 142, 46–66
21.	Mean-value theorem for the modulus of multiple trigonometric sums G. I. Arkhipov Mat. Zametki, 1975, 17:1, 143–153

22.	Konstantin Konstantinovich Mardzhanishvili (on the centenary of his birth) G. I. Arkhipov, V. F. Kolchin, Yu. I. Medvedev, S. M. Nikol'skii, M. P. Mineev, L. P. Postnikova, Yu. V. Prokhorov, V. N. Chubarikov Diskr. Mat., 2003, 15:4, 3–6
23.	Nikolai Mikhailovich Timofeev (obituary) G. I. Arkhipov, V. G. Zhuravlev, V. A. Iskovskikh, A. A. Karatsuba, M. B. Levina-Khripunova, V. N. Chubarikov, A. A. Yudin Uspekhi Mat. Nauk, 2003, 58:4(352), 135–138
24.	Sergei Mikhailovich Voronin (obituary) G. I. Arkhipov, V. I. Blagodatskikh, A. A. Bolibrukh, V. A. Iskovskikh, A. A. Karatsuba, Yu. V. Prokhorov, A. T. Fomenko, V. N. Chubarikov, I. R. Shafarevich Uspekhi Mat. Nauk, 1998, 53:4(322), 125–128
25.	Anatolii Alekseevich Karatsuba (on his 60th birthday) G. I. Arkhipov, V. I. Blagodatskikh, V. S. Vladimirov, S. M. Voronin, O. B. Lupanov, E. F. Mishchenko, Yu. V. Prokhorov, V. N. Chubarikov, A. B. Shidlovskii Uspekhi Mat. Nauk, 1998, 53:2(320), 173–176

Книги в базе данных Math-Net.Ru

G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, Multiple trigonometric sums, Trudy Mat. Inst. Steklov., 151, ed. S. M. Nikol'skii, 1980, 128 с.
http://mi.mathnet.ru/book1189

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