Multiplicative Dependence Among Iterated Values of Rational Functions Modulo Finitely Generated Groups
INTERNATIONAL MATHEMATICS RESEARCH NOTICES(2021)
Abstract
Y We study multiplicative dependence between elements in orbits of algebraic dynamical systems over number fields modulo a finitely generated multiplicative subgroup of the field. We obtain a series of results, many of which may be viewed as a blend of Northcott's theorem on boundedness of preperiodic points and Siegel's theorem on finiteness of solutions to S-unit equations.
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Key words
rational functions modulo finitely,multiplicative dependence,groups,iterated values
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