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pro vyhledávání: '"Takehira, Kohei"'
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 conjectured that delta factors are irreducible for the family $z\mapsto z^2+c
Externí odkaz:
http://arxiv.org/abs/2408.04850
Autor:
Takehira, Kohei
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 in number theory to capture the ``number-theoretic complexity" of a poi
Externí odkaz:
http://arxiv.org/abs/2404.00955
We investigate the arithmetic properties of the multiplier polynomials for certain $1$-parameter families of polynomials. In particular, we prove integrality theorems of multiplier polynomials for $z^d+c$, $(z-c)z^d + c$ and $z^{d+1}+cz$. As a coroll
Externí odkaz:
http://arxiv.org/abs/2403.17315
Autor:
Takehira, Kohei
For one variable rational function $\phi\in K(z)$ over a field $K$, we can define a discrete dynamical system by regarding $\phi$ as a self morphism of $\mathbb{P}_{K}^{1}$. Hatjispyros and Vivaldi defined a dynamical zeta function for this dynamical
Externí odkaz:
http://arxiv.org/abs/2107.05358
Autor:
Takehira, Kohei
Publikováno v:
数理解析研究所講究録. 2225:133-143