Lattice walks and elliptic functions

dc.rights.license	CC-BY-NC-ND
dc.contributor.advisor	Beukers, F.
dc.contributor.author	Boer, M.W.E. de
dc.date.accessioned	2018-07-20T17:02:07Z
dc.date.available	2018-07-20T17:02:07Z
dc.identifier.uri	https://studenttheses.uu.nl/handle/20.500.12932/29716
dc.description.abstract	Gessel walks are lattice walks confined to the positive quarter plane (NxN) which start at the origin (0,0) and have step set S={NE,E,SW,W}. In a recent article, Alin Bostan, Irina Kurkova, and Kilian Raschel showed that the generating function for Gessel walks is algebraic. The goal of this thesis was to fully understand the method presented in this article and, using this knowledge, reproduced the result with improvements where possible.
dc.description.sponsorship	Utrecht University
dc.format.extent	1970277
dc.format.mimetype	application/pdf
dc.language.iso	en
dc.title	Lattice walks and elliptic functions
dc.type.content	Bachelor Thesis
dc.rights.accessrights	Open Access
dc.subject.keywords	Lattic walks; Gessel walks; Generating functions; Algebraicity; Elliptic Curves; Elliptic functions;
dc.subject.courseuu	Mathematical Sciences