On equation x^q=a over Q_p
In this paper we provide a solvability criterion for the monomial equation x^q = a over Qp for any natural number q. As an application of the result, we describe a relationship between q and p in which the number −1 is the q-th power of some p-adic number.
Main Authors: | , |
---|---|
Format: | Article |
Language: | English |
Published: |
Academic Press Inc.
2013
|
Subjects: | |
Online Access: | http://irep.iium.edu.my/26067/ http://irep.iium.edu.my/26067/ http://irep.iium.edu.my/26067/ http://irep.iium.edu.my/26067/1/mfms-JNT%282012%29.pdf |