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math.NT2024
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…
math.NT2024
On the number of points with bounded dynamical canonical height
Kohei Takehira
This paper discusses the number of points for which the dynamical canonical height is less than or equal to a given value. The height function is a fundamental and important tool i…
math.NT2021
The rationality of dynamical zeta functions and Woods Hole fixed point formula
Kohei Takehira
For one variable rational function over a field , we can define a discrete dynamical system by regarding as a self morphism of . Hatjispyros…