On the number of solutions of the Tarry-Escott problem of degree two and the related problem over some finite fields

DOI10.1007/s10998-014-0060-1zbMath1340.11046OpenAlexW2059727349MaRDI QIDQ484576

Supawadee Prugsapitak, Sarachai Kongsiriwong

Publication date: 7 January 2015

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-014-0060-1

zbMATH Keywords

finite fieldTarry-Escott problem

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Diophantine equations in many variables (11D72)

Cites Work

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• The two-dimensional Prouhet-Tarry-Escott problem
• The Tarry-Escott problem of degree two
• A diophantine system related to the Tarry-Escott problem with no non-trivial solutions
• Ideal 9th-Order Multigrades and Letac's Elliptic Curve
• Computational investigations of the Prouhet-Tarry-Escott Problem
• The Prouhet-Tarry-Escott problem for Gaussian integers
• Ideal Solutions of the Tarry-Escott Problem

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