Geodesic
Application of theorems on primes to diophantine problems of a special type
Matematičeskie zametki, Tome 12 (1972) no. 3, pp. 243-250 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper we consider the problem of whether the equation $$ n=\frac{\nu_1\varphi_1-\nu_2\varphi_2}{\nu_1-\nu_2}\qquad (\nu_1\ne\nu_2) $$ can be solved and of a lower bound for the number of solutions, subject to certain constraints on the density of the numbers $\nu$ and the distribution of the numbers $\varphi$ in arithmetic progressions. 
@article{MZM_1972_12_3_a2,
     author = {B. M. Bredikhin and Yu. V. Linnik},
     title = {Application of theorems on primes to diophantine problems of a special type},
     journal = {Matemati\v{c}eskie zametki},
     pages = {243--250},
     year = {1972},
     volume = {12},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1972_12_3_a2/}
}
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B. M. Bredikhin; Yu. V. Linnik. Application of theorems on primes to diophantine problems of a special type. Matematičeskie zametki, Tome 12 (1972) no. 3, pp. 243-250. http://geodesic.mathdoc.fr/item/MZM_1972_12_3_a2/