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arXiv · 1901.04385

Dynamical uniform boundedness and the $abc$-conjecture

Nicole Looper
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Abstract

We address the Uniform Boundedness Conjecture of Morton and Silverman in the case of unicritical polynomials, assuming a generalization of the $abc$-conjecture. For unicritical polynomials of degree at least five, we require only the standard $abc$-conjecture.

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Nicole Looper. 2019-01-14. Dynamical uniform boundedness and the $abc$-conjecture. https://arxiv.org/abs/1901.04385

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