Title of article :
A remark on the means of the number of divisors
Author/Authors :
Hassani ، Mehdi - University of Zanjan
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
Journal title :
Bulletin of the Iranian Mathematical Society