Adleman-Manders-Miller Root Extraction Method Revisited
  In 1977, Adleman, Manders and Miller had briefly described how to extend their square root extraction method to the general $r$th root extraction over finite fields, but not shown enough details. Actually, there is a dramatic difference between the square root extraction and the general $r$th root extraction because one has to solve discrete logarithms for $r$th root extraction. In this paper, we clarify their method and analyze its complexity. Our heuristic presentation is helpful to grasp the method entirely and deeply. 
Zhengjun Cao and Qian Sha and Xiao Fan
cs.SC math.NT