Unicritical polynomial maps with rational multipliers
نویسندگان
چکیده
In this article, we prove that every unicritical polynomial map has only rational multipliers is either a power or Chebyshev map. This provides some evidence in support of conjecture by Milnor concerning maps whose are all integers.
منابع مشابه
Arithmetic of Unicritical Polynomial Maps
with derivative g b(w) = w n−1 , and use the conjugacy invariant b̂ = b . These normal forms (0.1) and (0.2) are related by the change of variable formula w = nz with b̂ = nĉ , and hence b = nc . (In particular, in the degree two case, b = b̂ is equal to 4c = 4ĉ .) If A is any ring contained in the complex numbers C , it will be convenient to use the non-standard notation A for the integral closur...
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ژورنال
عنوان ژورنال: Conformal geometry and dynamics
سال: 2021
ISSN: ['1088-4173']
DOI: https://doi.org/10.1090/ecgd/359