Newton polygons and the Prouhet-Tarry-Escott problem

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• 作者：Michael Filaseta ; ^{filaseta@mailbox.sc.edu} ; Maria Markovich
• 关键词：11D72 ; 11B75 ; 11D41 ; 11P05
• 刊名：Journal of Number Theory
• 出版年：2017
• 出版时间：May 2017
• 年：2017
• 卷：174
• 期：Complete
• 页码：384-400
• 全文大小：360 K
• 卷排序：174

文摘

We show how Newton polygons can be used to obtain new information on the 2-adic valuations of a certain constant associated with the Prouhet–Tarry–Escott (PTE) problem. Two explicit examples are given involving the cases n=8n=8 and n=9n=9 in the PTE problem.