An improvement of Prouhet’s 1851 result on multigrade chains

DOI10.1142/S179304212050075XzbMath1478.11051arXiv1908.11192OpenAlexW3006811966MaRDI QIDQ3303480

Ajai Choudhry

Publication date: 11 August 2020

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

Full work available at URL: https://arxiv.org/abs/1908.11192

zbMATH Keywords

Prouhet-Tarry-Escott problemmultigrade chainsmultigrade equationsequal sums of like powers

Mathematics Subject Classification ID

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

Cites Work

• On Prouhet's solution to the equal powers problem
• The origins of combinatorics on words
• The Prouhet-Tarry-Escott problem revisited
• On trees with the same restricted \(U\)-polynomial and the Prouhet-Tarry-Escott problem
• A New Proof of the Prouhet-Tarry-Escott Problem
• A New Proof of a Theorem of Lehmer
• Prouhet's 1851 Solution of the Tarry-Escott Problem of 1910
• Polynomial Identities
• NP-Hardness of Reed--Solomon Decoding, and the Prouhet--Tarry--Escott Problem
• Splitting Consecutive Integers Into Classes with Equal Power Sums
• The Tarry-Escott Problem
• Equal sums of like powers
• Equal Sums of Like Powers
• The Prouhet-Tarry-Escott problem and generalized Thue-Morse sequences
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