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.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Academic Press Inc.
2013
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/26067/1/mfms-JNT%282012%29.pdf http://irep.iium.edu.my/26067/ http://dx.doi.org/10.1016/j.jnt.2012.07.006 |
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