On the Binary Additive Problem
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 7 (2007) no. 1, pp. 9-13.

Voir la notice de l'article provenant de la source Math-Net.Ru

Let $c$ be a number lying in the interval $(1,2]$. The binary additive problem with semiprimes $p_1p_2$ such that $\{(p_1p_2)^{\frac1c}\}\frac12$ solved in this paper.
@article{ISU_2007_7_1_a1,
     author = {N. A. Zinchenko},
     title = {On the {Binary} {Additive} {Problem}},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
     pages = {9--13},
     publisher = {mathdoc},
     volume = {7},
     number = {1},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ISU_2007_7_1_a1/}
}
TY  - JOUR
AU  - N. A. Zinchenko
TI  - On the Binary Additive Problem
JO  - Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
PY  - 2007
SP  - 9
EP  - 13
VL  - 7
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ISU_2007_7_1_a1/
LA  - ru
ID  - ISU_2007_7_1_a1
ER  - 
%0 Journal Article
%A N. A. Zinchenko
%T On the Binary Additive Problem
%J Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
%D 2007
%P 9-13
%V 7
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ISU_2007_7_1_a1/
%G ru
%F ISU_2007_7_1_a1
N. A. Zinchenko. On the Binary Additive Problem. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 7 (2007) no. 1, pp. 9-13. http://geodesic.mathdoc.fr/item/ISU_2007_7_1_a1/

[1] Vinogradov I. M., “Nekotoroe obschee svoistvo raspredeleniya prostykh chisel”, Mat. sb., 7 (1940), 365–372

[2] Linnik Yu. V., “Ob odnoi teoreme teorii prostykh chisel”, Dokl. AN SSSR, 47 (1945), 7–8 | MR

[3] Gritsenko S. A., “Ob odnoi zadache I. M. Vinogradova”, Mat. zametki, 39:5 (1986), 625–640 | MR | Zbl

[4] Gritsenko S. A., “Ternarnaya problema Goldbakha i problema Goldbakha–Varinga s prostymi chislami, lezhaschimi v promezhutkakh spetsialnogo vida”, UMN, 43:4(262) (1988), 203–204 | MR

[5] Gritsenko S. A., “Tri additivnye zadachi”, Izv. RAN. Ser. mat., 56:6 (1992), 1198–1216 | MR | Zbl

[6] Balog A., Friedlander K. J., “A hybrid of theorems of Vinogradov and Piatetski–Shapiro”, Pacific. J. Math., 156 (1992), 45–62 | DOI | MR | Zbl

[7] Tolev D. I., “On a theorem of Bombieri-Vinogradov type for prime numbers from a thin set”, Acta Arithmetica, 81:1 (1997), 57–68 | MR | Zbl

[8] Zinchenko N. A., “Binarnaya additivnaya zadacha s poluprostymi chislami spetsialnogo vida”, Chebyshevskii sbornik, 6:2(14) (2005), 145–162 | MR | Zbl

[9] Khooli K., Primeneniya metodov resheta v teorii chisel, Nauka, M., 1987 | MR

[10] Vinogradov I. M., Metod trigonometricheskikh summ v teorii chisel, Nauka, M., 1971 | MR

[11] Linnik Yu. V., Dispersionnyi metod v binarnykh additivnykh zadachakh, Izd-vo LGU, L., 1961