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
Shandong
P. R. China
Abstract:
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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