The Prouhet Tarry Escott Problem: A Review

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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Main Authors: Srikanth Raghavendran, Veena Narayanan
Format: Article
Language:English
Published: MDPI AG 2019-03-01
Series:Mathematics
Subjects:
Diophantine systems
equal sums of like powers
Prouhet Tarry Escott problem
Online Access:http://www.mdpi.com/2227-7390/7/3/227
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spelling doaj-0bd197a628c34c17a53a484b9eb25d452020-11-24T23:46:10ZengMDPI AGMathematics2227-73902019-03-017322710.3390/math7030227math7030227The Prouhet Tarry Escott Problem: A ReviewSrikanth Raghavendran0Veena Narayanan1TATA Realty-SASTRA Srinivasa Ramanujan Research Chair for Number Theory, SASTRA Deemed University, Thanjavur 613401, IndiaDepartment of Mathematics, SASTRA Deemed University, Thanjavur 613401, IndiaThis 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.http://www.mdpi.com/2227-7390/7/3/227Diophantine systemsequal sums of like powersProuhet Tarry Escott problem
collection DOAJ
language English
format Article
sources DOAJ
author Srikanth Raghavendran
Veena Narayanan
spellingShingle Srikanth Raghavendran
Veena Narayanan
The Prouhet Tarry Escott Problem: A Review
Mathematics
Diophantine systems
equal sums of like powers
Prouhet Tarry Escott problem
author_facet Srikanth Raghavendran
Veena Narayanan
author_sort Srikanth Raghavendran
title The Prouhet Tarry Escott Problem: A Review
title_short The Prouhet Tarry Escott Problem: A Review
title_full The Prouhet Tarry Escott Problem: A Review
title_fullStr The Prouhet Tarry Escott Problem: A Review
title_full_unstemmed The Prouhet Tarry Escott Problem: A Review
title_sort prouhet tarry escott problem: a review
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2019-03-01
description 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.
topic Diophantine systems
equal sums of like powers
Prouhet Tarry Escott problem
url http://www.mdpi.com/2227-7390/7/3/227
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AT veenanarayanan theprouhettarryescottproblemareview
AT srikanthraghavendran prouhettarryescottproblemareview
AT veenanarayanan prouhettarryescottproblemareview
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