EQUAL SUMS OF LIKE POLYNOMIALS
Published online by Cambridge University Press: 12 December 2005
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.
- Type
- Papers
- Information
- Copyright
- © The London Mathematical Society 2005
Footnotes
- 2
- Cited by