Let F be a pure quintic field. In this paper, we present some results for the p-rank of K2OF, where p is an odd prime number. In particular, the 5-rank of K20F is studied by the reflection theorem. Some explicit resul...Let F be a pure quintic field. In this paper, we present some results for the p-rank of K2OF, where p is an odd prime number. In particular, the 5-rank of K20F is studied by the reflection theorem. Some explicit results on the 5-rank of K20F are given in some special cases.展开更多
基金This paper was partially supported by National Natural Science Foundation of China under Grant 11301071 and 11471162.
文摘Let F be a pure quintic field. In this paper, we present some results for the p-rank of K2OF, where p is an odd prime number. In particular, the 5-rank of K20F is studied by the reflection theorem. Some explicit results on the 5-rank of K20F are given in some special cases.
