---
_id: '211'
abstract:
- lang: eng
text: Let f ∈ ℤ[x] be a polynomial of degree d. The paucity of non-trivial 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.
acknowledgement: grant number GR/R93155/01
author:
- first_name: Timothy D
full_name: Timothy Browning
id: 35827D50-F248-11E8-B48F-1D18A9856A87
last_name: Browning
orcid: 0000-0002-8314-0177
citation:
ama: Browning TD. Equal sums of like polynomials. Bulletin of the London Mathematical
Society. 2005;37(6):801-808. doi:10.1112/S0024609305004741
apa: Browning, T. D. (2005). Equal sums of like polynomials. Bulletin of the
London Mathematical Society. John Wiley and Sons Ltd. https://doi.org/10.1112/S0024609305004741
chicago: Browning, Timothy D. “Equal Sums of like Polynomials.” Bulletin of the
London Mathematical Society. John Wiley and Sons Ltd, 2005. https://doi.org/10.1112/S0024609305004741.
ieee: T. D. Browning, “Equal sums of like polynomials,” Bulletin of the London
Mathematical Society, vol. 37, no. 6. John Wiley and Sons Ltd, pp. 801–808,
2005.
ista: Browning TD. 2005. Equal sums of like polynomials. Bulletin of the London
Mathematical Society. 37(6), 801–808.
mla: Browning, Timothy D. “Equal Sums of like Polynomials.” Bulletin of the London
Mathematical Society, vol. 37, no. 6, John Wiley and Sons Ltd, 2005, pp. 801–08,
doi:10.1112/S0024609305004741.
short: T.D. Browning, Bulletin of the London Mathematical Society 37 (2005) 801–808.
date_created: 2018-12-11T11:45:14Z
date_published: 2005-12-01T00:00:00Z
date_updated: 2021-01-12T06:55:22Z
day: '01'
doi: 10.1112/S0024609305004741
extern: 1
intvolume: ' 37'
issue: '6'
month: '12'
page: 801 - 808
publication: Bulletin of the London Mathematical Society
publication_status: published
publisher: John Wiley and Sons Ltd
publist_id: '7700'
quality_controlled: 0
status: public
title: Equal sums of like polynomials
type: journal_article
volume: 37
year: '2005'
...