Journal of Integer Sequences, Vol. 11 (2008), Article 08.2.3

On the Gcd-Sum Function

Yoshio Tanigawa
Graduate School of Mathematics
Nagoya University
Chikusa-ku, Nagoya 464-8602

Wenguang Zhai
School of Mathematical Sciences
Shandong Normal University
Jinan 250014, Shandong
P. R. China


In this paper we give a unified asymptotic formula for the partial gcd-sum function. We also study the mean-square of the error in the asymptotic formula.

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(Concerned with sequence A018804 .)

Received March 30 2008; revised version received May 9 2008. Published in Journal of Integer Sequences, June 3 2008.

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