Number Theoretic Properties of Elliptic Curves

Number Theoretic Properties of Elliptic Curves

In this thesis we will look at some of the theory of elliptic curves. We will use this for some number theoretical examples, use methods to determine the number of points on an elliptic curve over finite fields, and also discuss primality testing. We will also have a look at the Riemann hypothesis a...

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Main Author: Blomlie, Marius
Format: Others
Language:English
Published: Norges teknisk-naturvitenskapelige universitet, Institutt for fysikk 2014
Online Access:http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-25641
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spelling ndltd-UPSALLA1-oai-DiVA.org-ntnu-256412014-08-16T05:09:47ZNumber Theoretic Properties of Elliptic CurvesengBlomlie, MariusNorges teknisk-naturvitenskapelige universitet, Institutt for fysikkInstitutt for matematiske fag2014In this thesis we will look at some of the theory of elliptic curves. We will use this for some number theoretical examples, use methods to determine the number of points on an elliptic curve over finite fields, and also discuss primality testing. We will also have a look at the Riemann hypothesis and see how it is related to elliptic curves. Student thesisinfo:eu-repo/semantics/bachelorThesistexthttp://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-25641Local ntnudaim:11387application/pdfinfo:eu-repo/semantics/openAccess
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language English
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sources NDLTD
description In this thesis we will look at some of the theory of elliptic curves. We will use this for some number theoretical examples, use methods to determine the number of points on an elliptic curve over finite fields, and also discuss primality testing. We will also have a look at the Riemann hypothesis and see how it is related to elliptic curves.
author Blomlie, Marius
spellingShingle Blomlie, Marius
Number Theoretic Properties of Elliptic Curves
author_facet Blomlie, Marius
author_sort Blomlie, Marius
title Number Theoretic Properties of Elliptic Curves
title_short Number Theoretic Properties of Elliptic Curves
title_full Number Theoretic Properties of Elliptic Curves
title_fullStr Number Theoretic Properties of Elliptic Curves
title_full_unstemmed Number Theoretic Properties of Elliptic Curves
title_sort number theoretic properties of elliptic curves
publisher Norges teknisk-naturvitenskapelige universitet, Institutt for fysikk
publishDate 2014
url http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-25641
work_keys_str_mv AT blomliemarius numbertheoreticpropertiesofellipticcurves
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