In this talk I will define a differential extension of the power series over a field "k" of characteristic "p" making use of logarithms. I will explain, that every ordinary linear differential equation with polynomial or power series coefficients over "k" admits a basis of solutions in this extension. This talk is based on joint work with H. Hauser and H. Kawanoue.
An exponential function in characteristic p
18.10.2023 13:30 - 15:00
Organiser:
F. Fürnsinn, H. Hauser, S. Yurkevich
Location: