Izvestiya. Mathematics, Tome 23 (1984) no. 1, pp. 17-82
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G. I. Arkhipov; A. A. Karatsuba; V. N. Chubarikov. Special cases of the theory of multiple trigonometric sums. Izvestiya. Mathematics, Tome 23 (1984) no. 1, pp. 17-82. http://geodesic.mathdoc.fr/item/IM2_1984_23_1_a1/
@article{IM2_1984_23_1_a1,
author = {G. I. Arkhipov and A. A. Karatsuba and V. N. Chubarikov},
title = {Special cases of the theory of multiple trigonometric sums},
journal = {Izvestiya. Mathematics},
pages = {17--82},
year = {1984},
volume = {23},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1984_23_1_a1/}
}
TY - JOUR
AU - G. I. Arkhipov
AU - A. A. Karatsuba
AU - V. N. Chubarikov
TI - Special cases of the theory of multiple trigonometric sums
JO - Izvestiya. Mathematics
PY - 1984
SP - 17
EP - 82
VL - 23
IS - 1
UR - http://geodesic.mathdoc.fr/item/IM2_1984_23_1_a1/
LA - en
ID - IM2_1984_23_1_a1
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%A G. I. Arkhipov
%A A. A. Karatsuba
%A V. N. Chubarikov
%T Special cases of the theory of multiple trigonometric sums
%J Izvestiya. Mathematics
%D 1984
%P 17-82
%V 23
%N 1
%U http://geodesic.mathdoc.fr/item/IM2_1984_23_1_a1/
%G en
%F IM2_1984_23_1_a1
Estimates are proved for multiple trigonometric sums and the mean value of such sums under the condition that the variables of summation are very different from one another. Bibliography: 5 titles.
[1] Vinogradov I. M., Izbrannye trudy, AN SSSR, M., 1952 | MR | Zbl
[2] Arkhipov G. I., Karatsuba A. A., Chubarikov V. N., Kratnye trigonometricheskie summy, Tr. Matem. in-ta im. V. A. Steklova AN SSSR, 151, 1980 | MR | Zbl
[3] Arkhipov G. I., Karatsuba A. A., Chubarikov V. N., “Trigonometricheskie summy i ikh prilozheniya”, Izv. AN SSSR. Ser. matem., 44:4 (1980), 723–781 | MR | Zbl
[4] Arkhipov G. I., Karatsuba A. A., Chubarikov V. N., “Trigonometricheskie integraly”, Izv. AN SSSR. Ser. matem., 43:5 (1979), 971–1003 | MR | Zbl
[5] Vinogradov I. M., Metod trigonometricheskikh summ v teorii chisel, Nauka, M., 1980 | MR
