On square root function over Qp and its application

In this paper, we introduce a square root function over the p-adic field Qp. This enables to explicitly prescribe roots of the quadratic equation over Qp. Namely, we calculate the p−adic absolute value and the first digit of roots of the quadratic equation over Qp

Bibliographic Details
Main Authors: Saburov, Mansoor, Ismai, Muhammad Jundullah
Format: Conference or Workshop Item
Language:English
English
English
English
Published: IOP Publishing 2017
Subjects:
Online Access:http://irep.iium.edu.my/57122/
http://irep.iium.edu.my/57122/
http://irep.iium.edu.my/57122/
http://irep.iium.edu.my/57122/7/57122.pdf
http://irep.iium.edu.my/57122/8/57122-On%20Square%20Root%20Function_SCOPUS.pdf
http://irep.iium.edu.my/57122/19/57122_The%20Square%20Root%20Function.pdf
http://irep.iium.edu.my/57122/25/57122%20On%20square%20root%20function%20over%20Qp%20and%20its%20application%20WOS.pdf
Description
Summary:In this paper, we introduce a square root function over the p-adic field Qp. This enables to explicitly prescribe roots of the quadratic equation over Qp. Namely, we calculate the p−adic absolute value and the first digit of roots of the quadratic equation over Qp