Saburov, Mansoor and Ahmad, Mohd Ali Khameini and Alp, Murat (2021) The study on general cubic equations over padic fields. Filomat, 35 (4). pp. 11151131. ISSN 03545180

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Official URL: http://dx.doi.org/10.2298/FIL2104115S
Abstract
A Diophantine problem means to find all solutions of an equation or system of equations in integers, rational numbers, or sometimes more general number rings. The most frequently asked question is whether a root of a polynomial equation with coefficients in a padic field ℚp belongs to domains ℤ∗p, ℤp \ ℤ∗p, ℚp \ ℤp, ℚp or not. This question is open even for lower degree polynomial equations. In this paper, this problem is studied for cubic equations in a general form. The solvability criteria and the number of roots of the general cubic equation over the mentioned domains are provided.
Item Type:  Article 

Uncontrolled Keywords:  cubic equation, number of roots, padic field 
Subjects:  Q Science > QA Mathematics 
Divisions:  Science 
ID Code:  94792 
Deposited By:  Yanti Mohd Shah 
Deposited On:  29 Apr 2022 22:26 
Last Modified:  29 Apr 2022 22:26 
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