Biquadratic equations over p-adic fields

Biquadratic equations over p-adic fields

In this paper, we study a bi-quadratic equation x^4 + ax^2 = b over p-adic fields Q_p. It is worth of mentioning that the bi-quadratic equation x^4 + 1 = 0 is not solvable in the real number field R. However, the same bi-quadratic equation x^4 + 1 = 0 is solvable some p-adic fields such as p = 17,...

Full description

Bibliographic Details
Main Authors: Saburov, Mansoor, Ahmad, Mohd Ali Khameini
Format: Conference or Workshop Item
Language:English
Published: 2014
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/39875/
http://irep.iium.edu.my/39875/
http://irep.iium.edu.my/39875/1/Biquadratic_Equation_--_IREP.pdf
id iium-39875
recordtype eprints
spelling iium-398752018-06-18T15:21:30Z http://irep.iium.edu.my/39875/ Biquadratic equations over p-adic fields Saburov, Mansoor Ahmad, Mohd Ali Khameini QA Mathematics In this paper, we study a bi-quadratic equation x^4 + ax^2 = b over p-adic fields Q_p. It is worth of mentioning that the bi-quadratic equation x^4 + 1 = 0 is not solvable in the real number field R. However, the same bi-quadratic equation x^4 + 1 = 0 is solvable some p-adic fields such as p = 17, 41, ... Therefore, it is of independent interest to provide a solvability criterion of a bi-quadratic equation over p-adic fields. In this paper, we shall provide a solvability criterion of bi-quadratic equations in terms of a,b. 2014-09-23 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/39875/1/Biquadratic_Equation_--_IREP.pdf Saburov, Mansoor and Ahmad, Mohd Ali Khameini (2014) Biquadratic equations over p-adic fields. In: 3rd International Conference on Mathematical Applications in Engineering (ICMAE'14), 23-25 Sep 2014, Kuala Lumpur. (Unpublished) http://www.iium.edu.my/icmae/14/
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
Saburov, Mansoor
Ahmad, Mohd Ali Khameini
Biquadratic equations over p-adic fields
description In this paper, we study a bi-quadratic equation x^4 + ax^2 = b over p-adic fields Q_p. It is worth of mentioning that the bi-quadratic equation x^4 + 1 = 0 is not solvable in the real number field R. However, the same bi-quadratic equation x^4 + 1 = 0 is solvable some p-adic fields such as p = 17, 41, ... Therefore, it is of independent interest to provide a solvability criterion of a bi-quadratic equation over p-adic fields. In this paper, we shall provide a solvability criterion of bi-quadratic equations in terms of a,b.
format Conference or Workshop Item
author Saburov, Mansoor
Ahmad, Mohd Ali Khameini
author_facet Saburov, Mansoor
Ahmad, Mohd Ali Khameini
author_sort Saburov, Mansoor
title Biquadratic equations over p-adic fields
title_short Biquadratic equations over p-adic fields
title_full Biquadratic equations over p-adic fields
title_fullStr Biquadratic equations over p-adic fields
title_full_unstemmed Biquadratic equations over p-adic fields
title_sort biquadratic equations over p-adic fields
publishDate 2014
url http://irep.iium.edu.my/39875/
http://irep.iium.edu.my/39875/
http://irep.iium.edu.my/39875/1/Biquadratic_Equation_--_IREP.pdf
first_indexed 2023-09-18T20:57:15Z
last_indexed 2023-09-18T20:57:15Z
_version_ 1777410386258034688

Similar Items