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We establish consequences of the moving form of Schmidt's Subspace Theorem.Indeed, we obtain inequalities that bound the logarithmic greatest commondivisor of moving multivariable polynomials evaluated at moving $S$-unitarguments. In doing so, we complement recent work of Levin. As an additionalapplication, we obtain results that pertain to the greatest common divisorproblem for algebraic linear recurrence sequences. These observations aremotivated by previous related works of Corvaja-Zannier, Levin and others.

Greatest common divisors with moving targets and consequences for linear recurrence sequences