Geodesic
On a theorem of Bredihin and Linnik
Čebyševskij sbornik, Tome 19 (2018) no. 3, pp. 35-39.

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We give a new proof of a theorem of B. M. Bredihin which was originally proved by extending Linnik’s solution, via his dispersion method, of a problem of Hardy and Littlewood.
Keywords: primes, dispersion, Bombieri-Vinogradov theorem. 
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J. Friedlander; H. Iwaniec. On a theorem of Bredihin and Linnik. Čebyševskij sbornik, Tome 19 (2018) no. 3, pp. 35-39. http://geodesic.mathdoc.fr/item/CHEB_2018_19_3_a3/

[1] E. Bombieri, J. B. Friedlander, H. Iwaniec, “Primes in arithmetic progressions to large moduli III”, J. Amer. Math. Soc., 2 (1989), 215–224 | MR

[2] B. M. Bredihin, “Binary additive problems of indeterminate type. II. Analogue of the problem of Hardy and Littlewood”, Izv. Akad. Nauk SSSR Ser. Mat., 27 (1963), 577–612 | MR

[3] J. B. Friedlander, H. Iwaniec, Opera de Cribro, Amer. Math. Soc. Colloq. Pub., 57, AMS, Providence, 2010 | MR | Zbl

[4] H. Iwaniec, “Primes of the type $\phi (x,y)+A$ where $\phi$ is a quadratic form”, Acta Arith., 21 (1972), 203–234 | MR

[5] Yu. V. Linnik, The Dispersion Method in Binary Additive Problems, translated from the Russian by S. Schuur, AMS, Providence, 1963 | MR | Zbl