Journal of Integer Sequences, Vol. 15 (2012), Article 12.6.8

An Asymptotic Formula for Short Sums of Gcd-Sum Functions

Olivier Bordellès
2, allée de la Combe
43000 Aiguilhe


In this note, we prove an asymptotic formula for sums, over short segments, of the composition of the gcd and arithmetic functions belonging to certain classes. Two examples are also given.

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(Concerned with sequence A018804.)

Received April 13 2012; revised versions received June 14 2012; July 15 2012. Published in Journal of Integer Sequences, July 17 2012.

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