Counting points of bounded height over global function fields
dc.rights.license | CC-BY-NC-ND | |
dc.contributor.advisor | Pieropan, M. | |
dc.contributor.author | Kraats, Luke van de | |
dc.date.accessioned | 2025-01-14T00:01:08Z | |
dc.date.available | 2025-01-14T00:01:08Z | |
dc.date.issued | 2025 | |
dc.identifier.uri | https://studenttheses.uu.nl/handle/20.500.12932/48365 | |
dc.description.sponsorship | Utrecht University | |
dc.language.iso | EN | |
dc.subject | For the ring of polynomials over a finite field, we can define a zeta function which we can use to solve counting problems over global function fields. One may define a height function on global function fields, which gives a means of measuring the ''size' of a point. Using standard applications of Tauberian theorems we will show that the size of the set of points of bounded height is finite, and in particular how it behaves asymptotically. | |
dc.title | Counting points of bounded height over global function fields | |
dc.type.content | Master Thesis | |
dc.rights.accessrights | Open Access | |
dc.subject.courseuu | Mathematical Sciences | |
dc.thesis.id | 42137 |