On equation x^q=a over Q_p

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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.

Bibliographic Details
Main Authors:	Mukhamedov, Farrukh, Saburov, Mansoor
Format:	Article
Language:	English
Published:	Academic Press Inc. 2013
Subjects:	QA Mathematics
Online Access:	http://irep.iium.edu.my/26067/ http://irep.iium.edu.my/26067/1/mfms-JNT%282012%29.pdf

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