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math.NT2018
Multiplicative dependence among iterated values of rational functions modulo finitely generated groups
Attila Bérczes, Alina Ostafe, Igor E. Shparlinski +1
We study multiplicative dependence between elements in orbits ofalgebraic dynamical systems over number fields modulo a finitely generated multiplicative subgroup of the field. We…
math.NT2018
On algebraic integers of bounded house and preperiodicity in polynomial semigroup dynamics
Alina Ostafe, Marley Young
We consider semigroup dynamical systems defined by several polynomials over a number field , and the orbit (tree) they generate at a given point. We obtain finiteness r…