Equal sums of like polynomials

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Research output: Contribution to journalArticle (Academic Journal)peer-review

3 Citations (Scopus)

Abstract

Let f epsilon Z[x] be a polynomial of degree d. The paucity of non-trivial positive integer solutions to the equation f(x(1)) + f(x(2)) = f(x(3)) + f(x(4)) is established, provided that d >= 7. Also the corresponding situation is investigated for equal sums of three like polynomials.
Translated title of the contributionEqual sums of like polynomials
Original languageEnglish
Pages (from-to)801 - 808
Number of pages8
JournalBulletin of the London Mathematical Society
Volume37 (6)
DOIs
Publication statusPublished - Dec 2005

Bibliographical note

Publisher: Cambridge University Press
Other identifier: IDS Number: 998SJ

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