Equal sums of like polynomials

Details Equal sums of like polynomials Equal sums of like polynomials

2005-07-26

arxiv.org/abs/math/0507541v1

Mathematics

Number Theory

8 pages; to appear in Bull. London Math. Soc

Scientific paper

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.

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