An Integral Digit Derivative Basis for Carlitz Prime Power Torsion Extensions

Andreas Maurischat, Rudolph Perkins

Let $\mathfrak{p}$ be a monic irreducible polynomial in $A:={\mathbb{F}}_q[\theta ]$, the ring of polynomials in the indeterminate $\theta$ over the finite field ${\mathbb{F}}_q$, and let $\zeta$ be…