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We determine all algebraic relations among all hyperderivatives of theperiods, quasi-periods, logarithms, and quasi-logarithms of Drinfeld modulesdefined over a separable closure of the rational function field. In particular,for periods and logarithms that are linearly independent over the endomorphismring of the Drinfeld module, we prove the algebraic independence of theirhyperderivatives and the hyperderivatives of the corresponding quasi-periodsand quasi-logarithms.

Algebraic relations among hyperderivatives of periods and logarithms of Drinfeld modules