Primitive sets and an Euler phi function for subsets of {1,2,...,n}

Details Primitive sets and an Euler phi function for subsets of {1,2,...,n} Primitive sets and an Euler phi function for subsets of {1,2,...,n}

2006-08-06

arxiv.org/abs/math/0608150v3

Mathematics

Number Theory

This paper, revised and retitled "Affine invariants, relatively prime sets, and a phi function for subsets of {1,2,...,n}," ha

Scientific paper

A nonempty subset A of {1,2,...,n} is called primitive if gcd(A)=1. Let f(n)
and f_k(n) denote, respectively, the number of primitive subsets and the number
of primitive subsets of cardinality k of {1,2,...,n}. Recursion formulas and
asymptotic estimates are obtained for both functions.

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