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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     author = {Zh. V. Piyadina},
     title = {An~analog of the generalized {Hardy--Littlewood} problem with almost prime numbers},
     journal = {Matemati\v{c}eskie zametki},
     pages = {81--94},
     publisher = {mathdoc},
     volume = {59},
     number = {1},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1996_59_1_a7/}
}
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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/