On Decomposition Law in Carlitz-Kummer Function Fields
赵健强 · Chinese Science Bulletin · 1994
Let F_q be a finite field of q elements with characteristic p. Let k=F_q(T) be a ra-tional function field, and k~(ac), a fixed algebraic closure of k. Let M be a monic polynomialin R=F_q[T]. The Carlitz action of M on a∈k~(ac) is defined by