CUBIC CONGRUENCE EQUATIONS

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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Main Author: Ahmad, Qadeer
Format: Others
Language:English
Published: Linnéuniversitetet, Institutionen för datavetenskap, fysik och matematik, DFM 2012
Subjects:
Cubic Congruence
Hensel's lemma
Online Access:http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-19506
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spelling ndltd-UPSALLA1-oai-DiVA.org-lnu-195062013-01-08T13:40:35ZCUBIC CONGRUENCE EQUATIONSengAhmad, QadeerLinnéuniversitetet, Institutionen för datavetenskap, fysik och matematik, DFM2012Cubic CongruenceHensel's lemmaLet 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. Student thesisinfo:eu-repo/semantics/bachelorThesistexthttp://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-19506application/pdfinfo:eu-repo/semantics/openAccess
collection NDLTD
language English
format Others
sources NDLTD
topic Cubic Congruence
Hensel's lemma
spellingShingle Cubic Congruence
Hensel's lemma
Ahmad, Qadeer
CUBIC CONGRUENCE EQUATIONS
description 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.
author Ahmad, Qadeer
author_facet Ahmad, Qadeer
author_sort Ahmad, Qadeer
title CUBIC CONGRUENCE EQUATIONS
title_short CUBIC CONGRUENCE EQUATIONS
title_full CUBIC CONGRUENCE EQUATIONS
title_fullStr CUBIC CONGRUENCE EQUATIONS
title_full_unstemmed CUBIC CONGRUENCE EQUATIONS
title_sort cubic congruence equations
publisher Linnéuniversitetet, Institutionen för datavetenskap, fysik och matematik, DFM
publishDate 2012
url http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-19506
work_keys_str_mv AT ahmadqadeer cubiccongruenceequations
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