Cartan's conjecture with moving targets of same growth and effective Wirsing's theorem over function fields

Abstract.

We formulate a generalization of the Cartan's theorem and the Cartan's conjecture over function fields in the case where the coefficients of the linear forms can be nonconstant functions. This generalization is used to prove the Wirsing's theorem over function fields. Furthermore, the methods we use here provide effective results.