Partitions whose parts are pairwise relatively prime
type: Item
instance of: scholarly article
title: Partitions whose parts are pairwise relatively prime
zbMATH Open document ID: 0697.05008
DOI: 10.1016/0012-365X(90)90181-G
author: Eric Schmutz
published in: Discrete Mathematics
publication date: 1990-01-01T00:00:00Z
review text: Let \(a_ n\) denote the number of partitions of n into parts that are pairwise relative prime. An asymptotic formula is obtained for log \(a_ n\) by proving that \(\log a_ n\sim 2\pi \sqrt{\frac{n}{6 \log n}}.\) The more difficult task of obtaining an asymptotic formula for \(a_ n\) is lest as open problem.
Mathematics Subject Classification ID: 05A17
Mathematics Subject Classification ID: 11P81
zbMATH DE Number: 4142046
zbMATH Keywords: pairwise relatively prime partitions
zbMATH Keywords: asymptotic formula
MaRDI profile type: Publication
cites work: Q4146776
cites work: On some problems of a statistical group-theory. IV
cites work: Q4039929
full work available at URL: 0012-365x(90)90181-g
OpenAlex ID: W1993651590
description: scientific article; zbMATH DE number 4142046