Waring's problem for integral quaternions
type: Item
instance of: scholarly article
title: Waring's problem for integral quaternions
zbMATH Open document ID: 1442.11138
author: Paul Pollack
published in: Indagationes Mathematicae. New Series
publication date: 2018-09-20T00:00:00Z
review text: The classical Waring's problem states that for every positive integer \(m\) it is always possible to find a positive integer \(g\) such that any positive integer can be written as the sum of \(g\) \(m\)-th powers. This paper proves that this result also holds true in the context of Lipschitz quaternions, i.e., in the set \[ \mathbb{L}=\{a+bi+cj+dk:a,b,c,d\in\mathbb{Z}\}. \]
Mathematics Subject Classification ID: 11P05
Mathematics Subject Classification ID: 11R52
zbMATH DE Number: 6939361
zbMATH Keywords: Waring's problem
zbMATH Keywords: quaternions
zbMATH Keywords: Lipschitz quaternions
reviewed by: Antonio M. Oller Marcén
MaRDI profile type: Publication
full work available at URL: j.indag.2018.05.006
OpenAlex ID: W2804591044
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Wikidata QID: Q129803376
DOI: 10.1016/J.INDAG.2018.05.006
description: scientific article; zbMATH DE number 6939361