素数p在Q(u～(1/6))中的素理想分解问题

Decomposition of prime ideal p in Q(u～(1/6))

利用局部域的方法,研究素数p在有理数域的6次根扩张中的素理想分解问题,并完全确定了素数p在Q(u～(1/6))中分解所可能有的形式(pα︱︱u).为进一步研究素数p在Q(u～(1/21))中(l为素数)的分解提供了途径.

To study the problem of the law of decomposition of prime ideal p in Q（6√u）, using the method local field, the possible type of decomposition of prime ideal has been established when （pα︱︱u）. It is a road which can be used to the investigation of decomposition of prime idea p in Q（6√u）.