Title of article
A remark on the means of the number of divisors
Author/Authors
Hassani ، Mehdi - University of Zanjan
Pages
16
From page
1315
To page
1330
Abstract
We obtain the asymptotic expansion of the sequence with general term An/Gn, where An and Gn are the arithmetic and geometric means of the numbers d(1),d(2),...,d(n), with d(n) denoting the number of positive divisors of n. Also, we obtain some explicit bounds concerning Gn and An/Gn.
Keywords
Arithmetic function , arithmetic mean , geometric mean , growth of arithmetic functions
Journal title
Bulletin of the Iranian Mathematical Society
Serial Year
2016
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2456016
Link To Document