Let L be a finite extension of the rational function field in one variable over Fq and E Drinfeld module defined L. Given finitely many elements E(L), this paper aims to prove that linear relations among these points can characterized by solutions an explicitly constructed system homogeneous equations Fq[t]. As consequence, we show there is explicit upper bound for size generators points. This ...

After H\"older proved his classical theorem about the Gamma function, there has been a whole bunch of results showing that solutions to linear difference equations tend be hypertranscendental i.e. they cannot solution an algebraic differential equation). In this paper, we obtain first complete for general associated with shift operator $x\mapsto x+h$ ($h\in\mathbb{C}^*$), $q$-difference qx$ ($q...