Super Congruences

dc.rights.license	CC-BY-NC-ND
dc.contributor.advisor	Beukers, F.
dc.contributor.author	Attema, T.
dc.date.accessioned	2013-09-13T17:01:10Z
dc.date.available	2013-09-13
dc.date.available	2013-09-13T17:01:10Z
dc.date.issued	2013
dc.identifier.uri	https://studenttheses.uu.nl/handle/20.500.12932/14820
dc.description.abstract	In 2011 the Chinese mathematician Zhi-Wei Sun published an article containing 100 open conjectures about congruences involving hypergeometric sums. It happens to be the case that we can relate many of these congruences to the number of Fp-points on elliptic curves with complex multiplication. The complex multiplication property of these elliptic curves will give us a way to find the number of Fp-points on these elliptic curves and by means of these cardinalities certain congruences are implied.
dc.description.sponsorship	Utrecht University
dc.format.extent	664420 bytes
dc.format.mimetype	application/pdf
dc.language.iso	en
dc.title	Super Congruences
dc.type.content	Master Thesis
dc.rights.accessrights	Open Access
dc.subject.courseuu	Mathematical Sciences