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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| Format: | Article |
| Language: | English |
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Academic Press Inc.
2013
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| 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 |
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iium-26067 |
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eprints |
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iium-260672012-12-14T06:06:26Z http://irep.iium.edu.my/26067/ On equation x^q=a over Q_p Mukhamedov, Farrukh Saburov, Mansoor QA Mathematics 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. Academic Press Inc. 2013-01 Article PeerReviewed application/pdf en http://irep.iium.edu.my/26067/1/mfms-JNT%282012%29.pdf 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) http://dx.doi.org/10.1016/j.jnt.2012.07.006 10.1016/j.jnt.2012.07.006 |
| repository_type |
Digital Repository |
| institution_category |
Local University |
| institution |
International Islamic University Malaysia |
| building |
IIUM Repository |
| collection |
Online Access |
| language |
English |
| topic |
QA Mathematics |
| spellingShingle |
QA Mathematics Mukhamedov, Farrukh Saburov, Mansoor On equation x^q=a over Q_p |
| description |
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. |
| format |
Article |
| author |
Mukhamedov, Farrukh Saburov, Mansoor |
| author_facet |
Mukhamedov, Farrukh Saburov, Mansoor |
| author_sort |
Mukhamedov, Farrukh |
| title |
On equation x^q=a over Q_p |
| title_short |
On equation x^q=a over Q_p |
| title_full |
On equation x^q=a over Q_p |
| title_fullStr |
On equation x^q=a over Q_p |
| title_full_unstemmed |
On equation x^q=a over Q_p |
| title_sort |
on equation x^q=a over q_p |
| publisher |
Academic Press Inc. |
| publishDate |
2013 |
| url |
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 |
| first_indexed |
2023-09-18T20:38:52Z |
| last_indexed |
2023-09-18T20:38:52Z |
| _version_ |
1777409230057242624 |