Local Descriptions of Roots of Cubic Equations over P-adic Fields

One of the most frequently asked question in the p-adic lattice models of statistical mechanics is that whether a root of a polynomial equation belongs to domains Zp∗,Zp\Zp∗,Zp,Qp\Zp∗,Qp\(Zp\Zp∗),Qp\Zp,Qp or not. However, this question was open even for lower-degree polynomial equations. In this pap...

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Main Authors: Saburov, Mansoor, Ahmad, Mohd Ali Khameini
Format: Article
Language:English
English
English
Published: Springer Nature 2018
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Online Access:http://irep.iium.edu.my/64726/
http://irep.iium.edu.my/64726/
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http://irep.iium.edu.my/64726/1/64726_Local%20Descriptions%20of%20Roots%20of%20Cubic_article.pdf
http://irep.iium.edu.my/64726/2/64726_Local%20Descriptions%20of%20Roots%20of%20Cubic_scopus.pdf
http://irep.iium.edu.my/64726/13/64726_Local%20Descriptions%20of%20Roots%20of%20Cubic%20Equations%20over%20P-adic%20Fields_WOS.pdf
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spelling iium-647262019-01-24T06:47:35Z http://irep.iium.edu.my/64726/ Local Descriptions of Roots of Cubic Equations over P-adic Fields Saburov, Mansoor Ahmad, Mohd Ali Khameini Q Science (General) One of the most frequently asked question in the p-adic lattice models of statistical mechanics is that whether a root of a polynomial equation belongs to domains Zp∗,Zp\Zp∗,Zp,Qp\Zp∗,Qp\(Zp\Zp∗),Qp\Zp,Qp or not. However, this question was open even for lower-degree polynomial equations. In this paper, we give local descriptions of roots of cubic equations over the p-adic fields for p> 3. Springer Nature 2018-04-01 Article PeerReviewed application/pdf en http://irep.iium.edu.my/64726/1/64726_Local%20Descriptions%20of%20Roots%20of%20Cubic_article.pdf application/pdf en http://irep.iium.edu.my/64726/2/64726_Local%20Descriptions%20of%20Roots%20of%20Cubic_scopus.pdf application/pdf en http://irep.iium.edu.my/64726/13/64726_Local%20Descriptions%20of%20Roots%20of%20Cubic%20Equations%20over%20P-adic%20Fields_WOS.pdf Saburov, Mansoor and Ahmad, Mohd Ali Khameini (2018) Local Descriptions of Roots of Cubic Equations over P-adic Fields. Bulletin of the Malaysian Mathematical Sciences Society, 41 (2). pp. 965-984. ISSN 0126-6705 E-ISSN 2180-4206 https://link.springer.com/article/10.1007%2Fs40840-016-0401-8 10.1007/s40840-016-0401-8
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
English
English
topic Q Science (General)
spellingShingle Q Science (General)
Saburov, Mansoor
Ahmad, Mohd Ali Khameini
Local Descriptions of Roots of Cubic Equations over P-adic Fields
description One of the most frequently asked question in the p-adic lattice models of statistical mechanics is that whether a root of a polynomial equation belongs to domains Zp∗,Zp\Zp∗,Zp,Qp\Zp∗,Qp\(Zp\Zp∗),Qp\Zp,Qp or not. However, this question was open even for lower-degree polynomial equations. In this paper, we give local descriptions of roots of cubic equations over the p-adic fields for p> 3.
format Article
author Saburov, Mansoor
Ahmad, Mohd Ali Khameini
author_facet Saburov, Mansoor
Ahmad, Mohd Ali Khameini
author_sort Saburov, Mansoor
title Local Descriptions of Roots of Cubic Equations over P-adic Fields
title_short Local Descriptions of Roots of Cubic Equations over P-adic Fields
title_full Local Descriptions of Roots of Cubic Equations over P-adic Fields
title_fullStr Local Descriptions of Roots of Cubic Equations over P-adic Fields
title_full_unstemmed Local Descriptions of Roots of Cubic Equations over P-adic Fields
title_sort local descriptions of roots of cubic equations over p-adic fields
publisher Springer Nature
publishDate 2018
url http://irep.iium.edu.my/64726/
http://irep.iium.edu.my/64726/
http://irep.iium.edu.my/64726/
http://irep.iium.edu.my/64726/1/64726_Local%20Descriptions%20of%20Roots%20of%20Cubic_article.pdf
http://irep.iium.edu.my/64726/2/64726_Local%20Descriptions%20of%20Roots%20of%20Cubic_scopus.pdf
http://irep.iium.edu.my/64726/13/64726_Local%20Descriptions%20of%20Roots%20of%20Cubic%20Equations%20over%20P-adic%20Fields_WOS.pdf
first_indexed 2023-09-18T21:31:51Z
last_indexed 2023-09-18T21:31:51Z
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