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arXiv:math/0507541 [math.NT]AbstractReferencesReviewsResources

Equal sums of like polynomials

T. D. Browning

Published 2005-07-26Version 1

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.

Comments: 8 pages; to appear in Bull. London Math. Soc
Categories: math.NT
Subjects: 11D45, 11P05
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