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math.NT2025
The number of rational iterated preimages of the origin under unicritical polynomial maps
Kaoru Sano
We study rational iterated preimages of the origin under unicritical maps . Earlier works of Faber--Hutz--Stoll and Hutz--Hyde--Krause established finiteness and…
math.NT2025
Irreducibility of polynomials defining parabolic parameters of period 3
Junnosuke Koizumi, Yuya Murakami, Kaoru Sano +1
Morton and Vivaldi defined the polynomials whose roots are parabolic parameters for a one-parameter family of polynomial maps. We call these polynomials delta factors. They conject…