On equation x^q=a over Q_p

Mukhamedov, Farrukh and Saburov, Mansoor (2013) On equation x^q=a over Q_p. Journal of Number Theory, 133 (1). pp. 55-58. ISSN 0022-314X (P), 1096-1658 (O)

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Abstract

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.

Item Type:	Article (Journal)
Additional Information:	5573/26027
Uncontrolled Keywords:	Solvability criterion, Monomial equation, p-adic number
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	Dr. Farrukh Mukhamedov
Date Deposited:	14 Dec 2012 14:06
Last Modified:	14 Dec 2012 14:06
URI:	http://irep.iium.edu.my/id/eprint/26067

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