TY  - JOUR
A1  - Maurischat, Andreas
A1  - Perkins, Rudolph
T1  - Taylor coefficients of Anderson generating functions and Drinfeld torsion extensions
N2  - 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 p-adic Tate module lies in the p-adic points of the motivic Galois group. This is a generalization of the corresponding result of Chang and Papanikolas for the t-adic case.
Y1  - 2020
U6  - http://dx.doi.org/10.1142/S1793042122500099
IS  - Vol. 18, No. 01
SP  - 113
EP  - 130
PB  - World Scientific
CY  - Singapur
ER  - 
TY  - JOUR
A1  - Gazda, Quentin
A1  - Maurischat, Andreas
T1  - Special functions and Gauss-Thakur sums in higher rank and dimension
Y1  - 2020
PB  - De Gruyter
CY  - Berlin
ER  - 
TY  - JOUR
A1  - Maurischat, Andreas
T1  - Algebraic independence of the Carlitz period and its hyperderivatives
KW  - Drinfeld modules
KW  - t-modules
KW  - Transcendence
KW  - Hyperdifferentials
Y1  - 2021
N1  - Zweitveröffentlichung.
Verlagsveröffentlichung: https://doi.org/10.1016/j.jnt.2022.01.006
SP  - 1
EP  - 12
ER  - 
TY  - JOUR
A1  - Maurischat, Andreas
T1  - Algebraic independence of the Carlitz period and its hyperderivatives
JF  - Journal of Number Theory
KW  - Drinfeld modules
KW  - Periods
KW  - t-modules
KW  - Transcendence
KW  - Higher derivations
Y1  - 2022
U6  - http://dx.doi.org/10.1016/j.jnt.2022.01.006
SN  - 0022-314X
VL  - 240
SP  - 145
EP  - 162
PB  - Elsevier
CY  - Orlando, Fla.
ER  -