Generalization of the additive problem of divisors
Matematičeskie zametki, Tome 7 (1970) no. 4, pp. 477-482
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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 $m$.
@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/}
}
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/