A new approach to the Tarry–Escott problem

DOI10.1142/S1793042117500233zbMath1409.11028arXiv1603.00206OpenAlexW2963829932MaRDI QIDQ2965773

Ajai Choudhry

Publication date: 3 March 2017

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.00206

zbMATH Keywords

arithmetic progressionsTarry-Escott problemmultigrade equationsequal sums of like powersideal solutions

Mathematics Subject Classification ID

Diophantine equations in many variables (11D72) Higher degree equations; Fermat's equation (11D41)

Related Items (4)

Small-degree parametric solutions for degree 6 and 7 ideal multigrades ⋮ The Diophantine equation f(x)=g(y)$f(x)=g(y)$ for polynomials with simple rational roots ⋮ Unnamed Item ⋮ New solutions of the Tarry-Escott problem of degrees 2, 3 and 5

Cites Work

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• The Prouhet-Tarry-Escott problem revisited
• Ideal solutions of the Tarry-Escott problem of degree four and a related Diophantine system
• Ideal solutions of the Tarry-Escott problem of degrees four and five and related Diophantine systems.
• Equal sums of like powers and equal products of integers
• Ideal 9th-Order Multigrades and Letac's Elliptic Curve
• Symmetric Diophantine systems
• Ideal Solutions of the Tarry-Escott Problem
• Sequences of ideal solutions in the Tarry-Escott problem

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