Author(s):

Browning, Timothy D

Article Title: 
Equal sums of like polynomials

Affiliation 

Abstract: 
Let f ∈ ℤ[x] be a polynomial of degree d. The paucity of nontrivial positive integer solutions to the equation f(x1)+f(x 2)=f(x3)+f(x4) is established, provided that d ≤ 7$. Also the corresponding situation is investigated for equal sums of three like polynomials.

Journal Title:

Bulletin of the London Mathematical Society

Volume: 
37

Issue 
6

ISSN:

00246093 (ISSN)

Publisher:

John Wiley and Sons Ltd

Date Published:

20051201

Start Page: 
801

End Page:

808

Sponsor: 
grant number GR/R93155/01

DOI: 
10.1112/S0024609305004741

Open access: 
no 