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- W2950556621 abstract "Given a rational function of degree at least two defined over a number field k, we study the cardinality of the set of rational iterated preimages. We prove bounds for the cardinality of this set as the rational function varies in certain families. Our proofs are based on unit equations and a method of Runge for effectively determining integral points on certain affine curves. We also formulate and state a uniform boundedness conjecture for iterated preimages of rational functions and relate this conjecture to other well-known conjectures in arithmetic dynamics." @default.
- W2950556621 created "2019-06-27" @default.
- W2950556621 creator A5039706776 @default.
- W2950556621 date "2011-09-28" @default.
- W2950556621 modified "2023-09-27" @default.
- W2950556621 title "Rational preimages in families of dynamical systems" @default.
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