Matematičeskie zametki, Tome 7 (1970) no. 4, pp. 477-482
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L. I. Ufimtseva. Generalization of the additive problem of divisors. Matematičeskie zametki, Tome 7 (1970) no. 4, pp. 477-482. http://geodesic.mathdoc.fr/item/MZM_1970_7_4_a12/
@article{MZM_1970_7_4_a12,
author = {L. I. Ufimtseva},
title = {Generalization of the additive problem of divisors},
journal = {Matemati\v{c}eskie zametki},
pages = {477--482},
year = {1970},
volume = {7},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1970_7_4_a12/}
}
TY - JOUR
AU - L. I. Ufimtseva
TI - Generalization of the additive problem of divisors
JO - Matematičeskie zametki
PY - 1970
SP - 477
EP - 482
VL - 7
IS - 4
UR - http://geodesic.mathdoc.fr/item/MZM_1970_7_4_a12/
LA - ru
ID - MZM_1970_7_4_a12
ER -
%0 Journal Article
%A L. I. Ufimtseva
%T Generalization of the additive problem of divisors
%J Matematičeskie zametki
%D 1970
%P 477-482
%V 7
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_1970_7_4_a12/
%G ru
%F MZM_1970_7_4_a12
An asymptotic formula is obtained for a sum of the form $$ \sum_{m<n}f(m)\tau(n-m), $$ where $f(m)$ is a multiplicative function with additional constraints, and $\tau(m)$ is the number of divisors of $m$.
