CUBIC CONGRUENCE EQUATIONS

Let Nm(f(x)) denote the number of solutions of the congruence equation f(x)≡0 (modm), where m≥2 is any composite integer and f(x) is a cubic polynomial. In this thesis, we use different theorems and corollaries to find a number of solutions of the congruence equations without solving then we also co...

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Bibliographic Details
Main Author: Ahmad, Qadeer
Format: Others
Language:English
Published: Linnéuniversitetet, Institutionen för datavetenskap, fysik och matematik, DFM 2012
Subjects:
Online Access:http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-19506
Description
Summary:Let Nm(f(x)) denote the number of solutions of the congruence equation f(x)≡0 (modm), where m≥2 is any composite integer and f(x) is a cubic polynomial. In this thesis, we use different theorems and corollaries to find a number of solutions of the congruence equations without solving then we also construct the general expression of corresponding congruence equations to demonstrate the solutions of the equations. In this thesis, we use Mathematica software as a tool.