一些分圆域的极大实子域的幂元整基

摘要

In this paper, we determine all power bases for the maximal real subfields (Q)(ζn +ζn-1) of the n-th cyclotomic fields (Q)(ζn), where n ∈ {5, 7, 8, 9,12, 16, 20, 24}and ζn is a primitive n-th root of unity.%讨论了分圆域(Q)(ζn)的极大实子域(Q)(ζn+ζn-1)的幂元整基,其中n∈{5,7,8,9,12,16,20,24},ζn是n次本原单位根.