Establishes that averages of distinct n-periodic points for maps φ_{p^ℓ,c} and φ_{(p-1)^ℓ,c} over Z_p and F_p[t] are unbounded/zero or 1/2/0 as c varies, then derives counting results for irreducibles, zeta functions, and L-functions.
Kintu.Counting the number ofm≥3-periodicO K-points of a discrete dynamical system with applica- tions from arithmetic statistics, VIII
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Counting the number of $n$-periodic $\mathbb{Z}_{p}$-and $\mathbb{F}_{p}[t]$-points of a discrete dynamical system with applications from arithmetic statistics, VI
Establishes that averages of distinct n-periodic points for maps φ_{p^ℓ,c} and φ_{(p-1)^ℓ,c} over Z_p and F_p[t] are unbounded/zero or 1/2/0 as c varies, then derives counting results for irreducibles, zeta functions, and L-functions.