p^k元域F及F的单超越扩域E上的二项方程

The binomial equations over a field F of p^k elements and a simple transcendental extension field E of F

设F是pk元域,E是F的单超越扩域.对于F及E上的二项方程,给出了根的判别条件、根的个数、根的求法及求根的例子.

In this paper, let F be a field of pk elements and E be a simple transcendental extension field of F. For binomial equations over the F and E, the author gives the conditions of determining roots and number of roots, them he gives too the method of finding root and examples of finding roots.