The Prouhet Tarry Escott Problem: A Review

Srikanth Raghavendran and Veena Narayanan
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Srikanth Raghavendran: TATA Realty-SASTRA Srinivasa Ramanujan Research Chair for Number Theory, SASTRA Deemed University, Thanjavur 613401, India
Veena Narayanan: Department of Mathematics, SASTRA Deemed University, Thanjavur 613401, India

Mathematics, 2019, vol. 7, issue 3, 1-14

Abstract: 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.

Keywords: Diophantine systems; equal sums of like powers; Prouhet Tarry Escott problem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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