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 :
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