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 contribution||Equal sums of like polynomials|
|Pages (from-to)||801 - 808|
|Number of pages||8|
|Journal||Bulletin of the London Mathematical Society|
|Publication status||Published - Dec 2005|
Bibliographical notePublisher: Cambridge University Press
Other identifier: IDS Number: 998SJ