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Taylor coefficients of Anderson generating functions and Drinfeld torsion extensions.
- Source :
-
International Journal of Number Theory . Feb2022, Vol. 18 Issue 1, p113-130. 18p. - Publication Year :
- 2022
-
Abstract
- We generalize our work on Carlitz prime power torsion extension to torsion extensions of Drinfeld modules of arbitrary rank. As in the Carlitz case, we give a description of these extensions in terms of evaluations of Anderson generating functions and their hyperderivatives at roots of unity. We also give a direct proof that the image of the Galois representation attached to the -adic Tate module lies in the -adic points of the motivic Galois group. This is a generalization of the corresponding result of Chang and Papanikolas for the t -adic case. [ABSTRACT FROM AUTHOR]
- Subjects :
- *GENERATING functions
*DRINFELD modules
*IMAGE representation
*TORSION
Subjects
Details
- Language :
- English
- ISSN :
- 17930421
- Volume :
- 18
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- International Journal of Number Theory
- Publication Type :
- Academic Journal
- Accession number :
- 154861245
- Full Text :
- https://doi.org/10.1142/S1793042122500099