Dynamical uniform boundedness and the abc-conjecture
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math.DS
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conjectureboundednesspolynomialsunicriticaluniformaddressassumingcase
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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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