TY - JOUR ID - 894 TI - A remark on the means of the number of divisors JO - Bulletin of the Iranian Mathematical Society JA - BIMS LA - en SN - 1017-060X AU - Hassani, M. AD - Department of Mathematics‎, ‎University of Zanjan‎, ‎University Blvd.‎, ‎45371-38791‎, ‎Zanjan‎, ‎Iran. Y1 - 2016 PY - 2016 VL - 42 IS - 6 SP - 1315 EP - 1330 KW - Arithmetic function‎ KW - ‎arithmetic mean‎ KW - ‎geometric mean‎ KW - ‎growth of arithmetic functions DO - N2 - ‎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 $\frac{A_n}{G_n}$. UR - http://bims.iranjournals.ir/article_894.html L1 - http://bims.iranjournals.ir/article_894_9034a853545c34bb0518d238b490e090.pdf ER -