Journal of Integer Sequences, Vol. 13 (2010), Article 10.4.7

Mean Values of a Gcd-Sum Function Over Regular Integers Modulo n

Deyu Zhang and Wenguang Zhai
School of Mathematical Sciences
Shandong Normal University
Jinan 250014
P. R. China


In this paper we study the mean value of a gcd-sum function over regular integers modulo n. In particular, we improve the previous result under the Riemann hypothesis (RH). We also study the short interval problem for it without assuming RH.

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(Concerned with sequences A018804 and A176345.)

Received January 7 2010; revised version received April 15 2010. Published in Journal of Integer Sequences, April 15 2010.

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