More lacunary partition functions
type: Item
instance of: scholarly article
title: More lacunary partition functions
zbMATH Open document ID: 1122.11066
author: Jeremy Lovejoy
published in: Illinois Journal of Mathematics
publication date: 2003-10-16T00:00:00Z
review text: Let \(Q_{m,k}(n)\) denote the number of partitions of \(n\) into distinct parts \(\lambda_i\) such that (i) each \(\lambda_i\equiv 0\), \(m\pmod k\); (ii) the least part \(\lambda_1\equiv 0\pmod k\); (iii) \(2\lambda_1+ m\) does not occur as a part. Let \(Q_{m,k}^{\pm}(n)\) denote respectively the number of such partitions into evenly, oddly many parts. The author's main result is that \(Q^+_{m,k}(n)- Q^-_{m,k}(n)\) is lacunary.
reviewed by: Neville Robbins
Mathematics Subject Classification ID: 11P81
Mathematics Subject Classification ID: 05A17
Mathematics Subject Classification ID: 33D15
zbMATH DE Number: 1993671
zbMATH Keywords: partitions
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1993671