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// Matematicheskie Zametki
// Archive
Mat. Zametki,
1970
Volume 7,
Issue 4,
Pages
477–482
(Mi mzm9531)
This article is cited in
2
papers
Generalization of the additive problem of divisors
L. I. Ufimtseva
Kuibyshev Pedagogical Institute
Abstract:
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
$m$
.
UDC:
511
Received:
23.06.1969
Fulltext:
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Cited by
English version:
Mathematical Notes, 1970,
7
:4,
289–292
Bibliographic databases:
©
Steklov Math. Inst. of RAS
, 2026