Journal of Integer Sequences, Vol. 13 (2010), Article 10.8.1

A Survey of Gcd-Sum Functions

László Tóth
Department of Mathematics
University of Pécs
Ifjúság u. 6
7624 Pécs


We survey properties of the gcd-sum function and of its analogs. As new results, we establish asymptotic formulae with remainder terms for the quadratic moment and the reciprocal of the gcd-sum function and for the function defined by the harmonic mean of the gcd's.

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(Concerned with sequences A001880 A018804 A047994 A057660 A066862 A067911 A145388 A176345.)

Received April 29 2010; revised version received July 20 2010; Published in Journal of Integer Sequences, August 2 2010.

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