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math.NT2009★ 1 cited
On Relatively Prime Subsets and Supersets
Mohamed El Bachraoui
A nonempty finite set of positive integers A is relatively prime if gcd(A) = 1 and it is relatively prime to n if gcd(A [ fng) = 1. The number of nonempty subsets of A which are re…
math.NT2009★ 4 cited
Combinatorial Identities Involving the Mobius Function
Mohamed El bachraoui, Mohamed Salim
In this paper we derive some identities and inequalities on the Möbius mu function. Our main tool is phi functions for intervals of positive integers and their unions.