Hostname: page-component-586b7cd67f-dsjbd Total loading time: 0 Render date: 2024-11-24T08:08:55.888Z Has data issue: false hasContentIssue false
  • English
  • Français

EQUAL SUMS OF LIKE POLYNOMIALS

Published online by Cambridge University Press:  12 December 2005

T. D. BROWNING
T. D. BROWNING
Affiliation:
School of Mathematics, Bristol University, Bristol BS8 1TW, United Kingdom, [email protected]
Get access

Abstract

Let $f \in \Z[x]$ 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 $d \geq 7$. Also the corresponding situation is investigated for equal sums of three like polynomials.

Keywords

11D4511P05
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 37 , Issue 6 , December 2005 , pp. 801 - 808
Copyright
© The London Mathematical Society 2005

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

This work was undertaken while the author was at Oxford University, supported by EPSRC grant number GR/R93155/01.