Ideal solutions of the Tarry-Escott problem of degree four and a related Diophantine system
type: Item
instance of: scholarly article
title: Ideal solutions of the Tarry-Escott problem of degree four and a related Diophantine system
zbMATH Open document ID: 0995.11021
author: Ajai Choudhry
published in: L'Enseignement Mathématique. 2e Série
publication date: 2002-10-03T00:00:00Z
review text: The complete ideal symmetric solution in integers of the Tarry-Escott problem of degree four, i.e., of the system of simultaneous equations \(\sum_{i=1}^5 a_i^r = \sum_{i=1}^5 b_i^r, r = 1, 2, 3, 4,\) has been obtained. In addition, a parametric ideal nonsymmetric solution has also been derived, and this nonsymmetric solution has been used to obtain a parametric solution of the Diophantine system \(\sum_{i=1}^5 a_i^r = \sum_{i=1}^5 b_i^r, r = 1, 2, 3, 4\) and 6.
Mathematics Subject Classification ID: 11D25
Mathematics Subject Classification ID: 11D41
zbMATH DE Number: 1736561
zbMATH Keywords: Tarry-Escott problem
zbMATH Keywords: ideal symmetric solution
zbMATH Keywords: system of simultaneous equation
zbMATH Keywords: nonsymmetric solution
reviewed by: Edward L. Cohen
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1736561