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- W1866808599 abstract "Bounding the number of preperiodic points of quadratic polynomials with rational coefficients is one case of the Uniform Boundedness Conjecture in arithmetic dynamics. Here, we provide a general framework that may reduce finding periodic points of such polynomials over Galois extensions of $mathbb{Q}$ to finding periodic points over the rationals. Furthermore, we present evidence that there are no such polynomials (up to linear conjugation) with periodic points of exact period 5 in quadratic fields by searching for points on an algebraic curve that classifies quadratic periodic points of exact period 5 and suggesting the application of the method of Chabauty and Coleman for further progress." @default.
- W1866808599 created "2016-06-24" @default.
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- W1866808599 date "2015-04-04" @default.
- W1866808599 modified "2023-09-27" @default.
- W1866808599 title "On quadratic periodic points of quadratic polynomials" @default.
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