ABC conjecture and its implications

dc.contributor	Graduate Program in Mathematics.
dc.contributor.advisor	Özman, Ekin.
dc.contributor.author	Koç, Tuğçe.
dc.date.accessioned	2023-03-16T11:21:47Z
dc.date.available	2023-03-16T11:21:47Z
dc.date.issued	2019.
dc.identifier.other	MATH 2019 K73
dc.identifier.uri	http://digitalarchive.boun.edu.tr/handle/123456789/15311
dc.description.abstract	In this thesis, our aim is to state the importance of abc conjecture and prove the strong results we obtain with the help of abc conjecture. First, we give necessary notions and tools which are used throughout the thesis. Then we introduce Hall conjecture, Fermat’s last theorem and Mordell conjecture, and their relations with abc conjecture. In particular, we give the eﬀective proof of Mordell conjecture using abc conjecture, given in the article of Noam Elkies, [1], and also get another height bound by combining with a diﬀerent theorem. Finally, we give three examples where we use both of the height bounds. This thesis was supported by T¨UB˙ITAK Project 117F274.
dc.format.extent	30 cm.
dc.publisher	Thesis (M.S.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2019.
dc.subject.lcsh	Number theory.
dc.title	ABC conjecture and its implications
dc.format.pages	xiii, 105 leaves ;