Cubic Polynomials with Periodic Cycles of a Specified Multiplier
نویسنده
چکیده
We consider cubic polynomials f(z) = z + az + b defined over C(λ), with a marked point of period N and multiplier λ. In the case N = 1, there are infinitely many such objects, and in the case N ≥ 3, only finitely many. The case N = 2 has particularly rich structure, and we are able to describe all such cubic polynomials defined over the field S
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