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Partitions whose parts are pairwise relatively prime
Journal article   Open access   Peer reviewed

Partitions whose parts are pairwise relatively prime

Eric Schmutz
Discrete mathematics, v 81(1), pp 87-89
01 Apr 1990
url
https://doi.org/10.1016/0012-365X(90)90181-GView
Published, Version of Record (VoR) Restricted

Abstract

Let a n be the number of (unordered) partitions of n into parts that are “pairwise” relatively prime. In other words, count λ = {λ 1, λ 2,…} if and only if gcd(λ i , j ) = 1 for all i ≠ j. We show that log a n ∼ 2π √6 nlog( n

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Mathematics
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