A Class Number Problem for the Cyclotomic Z(2)-extension of Q(root 5)

作者：Aoki Takuya^*

来源：Tokyo Journal of Mathematics, 2016, 39(1): 69-81.

Let K-n be the n-th layer of the cyclotomic Z(2)-extension of Q(root 5) and h(n) the class number of K-n. We prove that, if l is a prime number less than 6 . 10(4), then l does not divide h(n) for any non-negative integer n.

• 出版日期2016-6