The geometry of sum-preserving permutations
type: Item
instance of: scholarly article
title: The geometry of sum-preserving permutations
zbMATH Open document ID: 0694.40003
author: Fernando Garibay
author: Peter Greenberg
author: Lino Resendis
author: Juan José Rivaud
published in: Pacific Journal of Mathematics
publication date: 1988-01-01T00:00:00Z
review text: Several authors in the past have given characterizations of those permutations \(\sigma\) of the set of positive integers such that for every convergent series \(\sum a_ i\), the series \(\sum a_{\sigma (i)}\) converges. The present paper gives some further such characterizations, some additional properties of such permutations, and a few open questions.
Mathematics Subject Classification ID: 40A05
Mathematics Subject Classification ID: 11B75
Mathematics Subject Classification ID: 05A05
Mathematics Subject Classification ID: 11B05
zbMATH DE Number: 4136645
zbMATH Keywords: rearrangement of series
zbMATH Keywords: permutations
zbMATH Keywords: convergence
zbMATH Keywords: density
reviewed by: Gerald A. Heuer
MaRDI profile type: Publication
full work available at URL: pjm.1988.135.313
OpenAlex ID: W1980189721
DOI: 10.2140/PJM.1988.135.313
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description: scientific article; zbMATH DE number 4136645