Linear independence and divided derivatives of a Drinfeld module II

Brownawell, W.; Denis, Laurent

doi:10.1090/S0002-9939-00-05633-1

Linear independence and divided derivatives of a Drinfeld module II
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by W. Dale Brownawell and Laurent Denis PDF

Proc. Amer. Math. Soc. 128 (2000), 1581-1593 Request permission

Abstract:

In this note we extend our previous results on the linear independence of values of the divided derivatives of exponential and quasi-periodic functions related to a Drinfeld module to divided derivatives of values of identity and quasi-periodic functions evaluated at the logarithm of an algebraic value. The change in point of view enables us to deal smoothly with divided derivatives of arbitrary order. Moreover we treat a full complement of quasi-periodic functions corresponding to a basis of de Rham cohomology.

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