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math.NT2017
The -Conjecture implies uniform bounds on dynamical Zsigmondy sets
Nicole Looper
We prove that the -Conjecture implies upper bounds on Zsigmondy sets that are uniform over families of unicritical polynomials over number fields. As an application, we use th…
math.NT2017
A lower bound on the canonical height for polynomials
Nicole Looper
We prove a lower bound on the canonical height associated to polynomials over number fields evaluated at points with infinite forward orbit. The lower bound depends only on the deg…