Abstract
We give some new results on algebraic independence in the frame of Mahlerʼs method, including algebraic independence of values at transcendental points. We also give some new measures of algebraic independence. In particular, our results furnish for n ⩾ 1 arbitrarily large new examples of families of members ( θ 1 , … , θ n ) ∈ R n normal in the sense of the definition formulated by G. Chudnovsky (1980) [2].
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