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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.DS2024
Arithmetic properties of multiplier polynomials for certain polynomial maps
Yuya Murakami, Kaoru Sano, Kohei Takehira
We investigate the arithmetic properties of the multiplier polynomials for certain -parameter families of polynomials. In particular, we prove integrality theorems of multiplier…