Equal sums of like polynomials

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Let $f$ be a polynomial of degree $d>6$, with integer coefficients. Then the paucity of non-trivial positive integer solutions to the equation $f(a)+f(b)=f(c)+f(d)$ is established. The corresponding situation for equal sums of three like polynomials is also investigated.
8 pages; to appear in Bull. London Math. Soc

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Number Theory, 11D45 (11P05)

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http://salesiana.dossiersoluciones.com/handle/123456789/75903

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0507541
 http://arxiv.org/abs/math/0507541

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arXiv