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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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 |
work_keys_str_mv |
AT srikanthraghavendran theprouhettarryescottproblemareview AT veenanarayanan theprouhettarryescottproblemareview AT srikanthraghavendran prouhettarryescottproblemareview AT veenanarayanan prouhettarryescottproblemareview |
_version_ |
1725494337142259712 |