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On the proportion of irreducible polynomials in unicritically generated semigroups
Wade Hindes, Reiyah Jacobs, Benjamin Keller +3
Let be a prime number and let be a finite set of unicritical polynomials for some . Moreover, assume that contains…
Irreducible polynomials in quadratic semigroups
Wade Hindes, Reiyah Jacobs, Peter Ye
We construct many irreducible polynomials within semigroups generated by sets of the form under composition.
Integral points of bounded degree on the projective line and in dynamical orbits
Joseph Gunther, Wade Hindes
Let be a non-empty effective divisor on . We show that when ordered by height, any set of -integral points on of bounded degree has relative…
Galois uniformity in quadratic dynamics over rational function fields
Wade Hindes
We prove that the arboreal Galois representation attached to a large class of quadratic polynomials defined over a field of rational functions in characteristic zero has finite ind…