Matematičeskie zametki, Tome 12 (1972) no. 3, pp. 243-250
Citer cet article
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/
@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/}
}
TY - JOUR
AU - B. M. Bredikhin
AU - Yu. V. Linnik
TI - Application of theorems on primes to diophantine problems of a special type
JO - Matematičeskie zametki
PY - 1972
SP - 243
EP - 250
VL - 12
IS - 3
UR - http://geodesic.mathdoc.fr/item/MZM_1972_12_3_a2/
LA - ru
ID - MZM_1972_12_3_a2
ER -
%0 Journal Article
%A B. M. Bredikhin
%A Yu. V. Linnik
%T Application of theorems on primes to diophantine problems of a special type
%J Matematičeskie zametki
%D 1972
%P 243-250
%V 12
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1972_12_3_a2/
%G ru
%F MZM_1972_12_3_a2
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.
