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

• Main Authors: Saburov, Mansoor, Ahmad, Mohd Ali Khameini
• Format: Article
• Language: English; English; English
• Published: Springer Nature 2018
• Subjects: Q Science (General)
• Online Access: 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; http://irep.iium.edu.my/64726/; https://link.springer.com/article/10.1007%2Fs40840-016-0401-8
• Institution: Universiti Islam Antarabangsa Malaysia

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.