A family of partitions with attached parts and `N copies of N'
type: Item
instance of: scholarly article
title: A family of partitions with attached parts and `N copies of N'
zbMATH Open document ID: 0985.11049
DOI: 10.1016/S0012-365X(99)00409-4
published in: Discrete Mathematics
publication date: 2001-01-30T00:00:00Z
review text: The authors give the formula \[ \sum^\infty_{n=0} {q^{kn^2+(j-k)n} \over(q^j;q^k)_n (q^k;q^k)_n}= {1\over(q^j; q^k)_\infty}, \] which they observe is a special case of Heine's \(_2\varphi_1\)-summation formula, and give some combinatorial consequences for partitions. Several explicit examples are given, making the results easy to understand.
reviewed by: Shaun Cooper
Mathematics Subject Classification ID: 11P81
Mathematics Subject Classification ID: 11P83
Mathematics Subject Classification ID: 05A17
Mathematics Subject Classification ID: 05A19
zbMATH DE Number: 1506829
zbMATH Keywords: partition with attached parts
author: Jose Plínio O. Santos
author: Paulo Mondek
MaRDI profile type: Publication
full work available at URL: s0012-365x(99)00409-4
OpenAlex ID: W2038061640
description: scientific article; zbMATH DE number 1506829