Geodesic
Divisors of a quadratic form with primes
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Harmonic analysis, approximation theory, and number theory, Tome 303 (2018), pp. 169-185

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We obtain an asymptotic formula for the average number of divisors of the quadratic form $\mathcal A(x,y,z) = xy+xz+yz$, where $x$, $y$, and $z$ run through prime numbers from the interval $X$. 
@article{TM_2018_303_a12,
     author = {M. A. Korolev},
     title = {Divisors of a quadratic form with primes},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {169--185},
     publisher = {mathdoc},
     volume = {303},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2018_303_a12/}
}
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VL  - 303
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%T Divisors of a quadratic form with primes
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
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M. A. Korolev. Divisors of a quadratic form with primes. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Harmonic analysis, approximation theory, and number theory, Tome 303 (2018), pp. 169-185. http://geodesic.mathdoc.fr/item/TM_2018_303_a12/