The Prouhet–Tarry–Escott problem, indecomposability of polynomials and Diophantine equations

In this paper, we show how the subjects mentioned in the title are related. First we study the structure of partitions of A ⊆ { 1 , ⋯ , n } in k -sets such that the first k - 1 symmetric polynomials of the elements of the k -sets coincide. Then we apply this result to derive a decomposability result...

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Bibliographic Details
Published in:	The Ramanujan journal Vol. 58; no. 4; pp. 1075 - 1093
Main Authors:	Hajdu, L., Papp, Á., Tijdeman, R.
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.08.2022 Springer Nature B.V
Subjects:	Combinatorics Diophantine equation Field Theory and Polynomials Fourier Analysis Functions of a Complex Variable Mathematics Mathematics and Statistics Number Theory Polynomials Products of consecutive integers Indecomposability of polynomials Symmetric polynomials The Prouhet–Tarry–Escott problem Polynomial values 11D41 11B75 Partitions of 11P05
ISSN:	1382-4090, 1572-9303
Online Access:	Get full text
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