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math.NT2022
Preperiodic points with local rationality conditions in the quadratic unicritical family
Chatchai Noytaptim
For rational numbers , we present a trichotomy of the set of totally real (totally -adic, respectively) preperiodic points for maps in the quadratic unicritical family $f_c(x…
math.NT2022
Totally real algebraic integers in short intervals, Jacobi polynomials, and unicritical families in arithmetic dynamics
Chatchai Noytaptim, Clayton Petsche
We classify all post-critically finite unicritical polynomials defined over the maximal totally real algebraic extension of . Two auxiliary results used in the proof o…