The Prouhet Tarry Escott Problem: A Review

This paper presents a review of the Prouhet Tarry Escott problem. The solutions of the Prouhet Tarry Escott problem are significant because of its numerous applications. Available literature about the present topic has been critically examined. The ideal and non-ideal symmetric solutions of the prob...

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Bibliographic Details
Published in:Mathematics (Basel) 2019-03, Vol.7 (3), p.227
Main Authors: Raghavendran, Srikanth, Narayanan, Veena
Format: Article
Language:English
Subjects:
Diophantine systems
equal sums of like powers
Food science
Prouhet Tarry Escott problem
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Summary:This paper presents a review of the Prouhet Tarry Escott problem. The solutions of the Prouhet Tarry Escott problem are significant because of its numerous applications. Available literature about the present topic has been critically examined. The ideal and non-ideal symmetric solutions of the problem are pointed out. The present work also aims to familiarize one with the different existing methods of obtaining the solutions of the Tarry Escott problem. Difficulties and possible future research directions are addressed. This review contributes a clear picture of the Prouhet Tarry Escott problem.
ISSN:2227-7390
2227-7390
DOI:10.3390/math7030227