Journal of Integer Sequences, Vol. 13 (2010), Article 10.3.8

Combinatorial Identities Involving the Möbius Function

Mohamed El Bachraoui and Mohamed Salim
Department of Mathematical Sciences
United Arab Emirates University
P.O. Box 17551
United Arab Emirates


We derive some identities and inequalities concerning the Möbius function. Our main tool is phi functions for intervals of positive integers and their unions.

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Received March 2 2010; revised version received August 7 2010. Published in Journal of Integer Sequences, September 3 2010.

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