Title of article
A remark on the means of the number of divisors
Author/Authors
-، - نويسنده Department of Mathematics, University of Zanjan, University Blvd., 45371-38791, Zanjan, Iran. Hassani, M.
Issue Information
دوماهنامه با شماره پیاپی 0 سال 2016
Pages
16
From page
1315
To page
1330
Abstract
-
Abstract
We obtain the asymptotic expansion of the sequence with general term $frac{A_n}{G_n}$, where $A_n$ and $G_n$ are the arithmetic and geometric means of the numbers $d(1),d(2),dots,d(n)$, with $d(n)$ denoting the number of positive divisors of $n$. Also, we obtain some explicit bounds concerning $G_n$ and $frac{A_n}{G_n}$.
Journal title
Bulletin of the Iranian Mathematical Society
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2396512
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