Journal of Integer Sequences, Vol. 17 (2014), Article 14.1.7

On the Lcm-Sum Function

Soichi Ikeda and Kaneaki Matsuoka
Graduate School of Mathematics
Nagoya University
Furocho Chikusaku Nagoya 464-8602


We consider a generalization of the lcm-sum function, and we give two kinds of asymptotic formulas for the sum of that function. Our results include a generalization of Bordellès's results and a refinement of the error estimate of Alladi's result. We prove these results by the method similar to those of Bordellès.

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(Concerned with sequences A018804 A051193.)

Received August 19 2013; revised version received November 14 2013; November 23 2013; December 19 2013. Published in Journal of Integer Sequences, December 27 2013.

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