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
China

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

Abstract:

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.

Full version:  pdf,    dvi,    ps,    latex    

(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.

Return to Journal of Integer Sequences home page