Journal of Integer Sequences, Vol. 14 (2011), Article 11.8.3

Reciprocals of the Gcd-Sum Functions

Shiqin Chen
Experimental Center
Linyi University
Linyi, 276000, Shandong

Wenguang Zhai
Department of Mathematics
China University of Mining and Technology
Beijing, 100083


In this paper we study the reciprocals of the gcd-sum function and some related functions and improve some results of Tóth. The harmonic mean of the gcd function is also studied.

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(Concerned with sequences A018804 A145388 A176345.)

Received February 13 2011; revised versions received May 15 2011; June 28 2011; August 12 2011. Published in Journal of Integer Sequences, September 25 2011.

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