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.References
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Additional Information
- W. Dale Brownawell
- Affiliation: Department of Mathematics, Penn State University, University Park, Pennsylvania 16802
- MR Author ID: 42245
- Email: wdb@math.psu.edu
- Laurent Denis
- Affiliation: U.F.R. de Mathématiques Université des Sciences et Technologies de Lille, 59655 Villeneuve d’Ascq Cedex, France
- Email: ladenis@ccr.jussieu.fr
- Received by editor(s): May 13, 1998
- Published electronically: February 25, 2000
- Additional Notes: The first author was supported in part by an NSF Grant.
- Communicated by: David E. Rohrlich
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 1581-1593
- MSC (2000): Primary 11J93, 11G09
- DOI: https://doi.org/10.1090/S0002-9939-00-05633-1
- MathSciNet review: 1709742
Dedicated: This paper is dedicated to the memory of Bernard Dwork