Journal of Integer Sequences, Vol. 10 (2007), Article 07.3.3

A Note on the Average Order of the gcd-sum Function


Olivier Bordellès
2, Allée de la Combe
La Boriette
43000 Aiguilhe
France

Abstract:

We prove an asymptotic formula for the average order of the gcd-sum function by using a new convolution identity.

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(Concerned with sequence A018804.)

Received July 10 2006; revised version received March 28 2007. Published in Journal of Integer Sequences March 28 2007.

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