Geodesic
An~analog of the generalized Hardy--Littlewood problem with almost prime numbers
Matematičeskie zametki, Tome 59 (1996) no. 1, pp. 81-94.

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We obtain an asymptotic formula for the number of solutions of the equation $m'-\varphi(u,v)=a$, where $m$ is an almost prime number, $\varphi(u,v)$ is a given binary quadratic form, and $a$ is an arbitrary fixed integer. 
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Zh. V. Piyadina. An~analog of the generalized Hardy--Littlewood problem with almost prime numbers. Matematičeskie zametki, Tome 59 (1996) no. 1, pp. 81-94. http://geodesic.mathdoc.fr/item/MZM_1996_59_1_a7/

[1] Bredikhin B. M., Linnik Yu. V., “Asimptotika i ergodicheskie svoistva reshenii obobschennogo uravneniya Gardi–Littlvuda”, Matem. sb., 71:2 (1966), 145–161 | MR | Zbl

[2] Fouvry E., Iwaniec H., “On a theorem of Bombieri–Vinogradov type”, Mathematika, 27:2 (1980), 135–152 | MR | Zbl

[3] Piyadina Zh. V., “Ob odnom analoge uravneniya Khardi–Littlvuda”, Matem. zametki, 46:3 (1989), 58–67 | MR

[4] Borevich Z. I., Shafarevich I. R., Teoriya chisel, Nauka, M., 1964

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

[6] Piyadina Zh. V., Additivnye zadachi s pochti prostymi chislami, Diss. ... k. f.-m. n., Kuibyshev, 1990

[7] Bredikhin B. M., “Dispersionnyi metod i binarnye additivnye problemy opredelennogo tipa”, UMN, 20:2 (1965), 89–130 | MR | Zbl

[8] Vinogradov A. I., “Obobschenie lemmy Erdesha”, Vestn. LGU. Matem., mekh., astron., 1960, no. 19, 124–126 | Zbl

[9] Vinogradov A. I., “O chislakh s malymi prostymi delitelyami”, Dokl. AN SSSR, 109:4 (1956), 683–686 | MR | Zbl

[10] Bredikhin B. M., “Ostatochnyi chlen v asimptoticheskoi formule dlya funktsii $\nu_G(x)$”, Izv. vuzov. Matem., 1960, no. 6, 40–49 | MR | Zbl