| dc.contributor | Ochoa Arango, Jesus Alonso | |
| dc.creator | Neira Lopez, Santiago | |
| dc.date | 2022-12-07T18:41:43Z | |
| dc.date | 2023-05-11T19:14:47Z | |
| dc.date | 2022-12-07T18:41:43Z | |
| dc.date | 2023-05-11T19:14:47Z | |
| dc.date | 2022-11-24 | |
| dc.date.accessioned | 2023-08-24T10:47:04Z | |
| dc.date.available | 2023-08-24T10:47:04Z | |
| dc.identifier | https://hdl.handle.net/20.500.12032/112278 | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/8418926 | |
| dc.description | This work is a review of the congruent zeta function and the Weil conjectures for non-singular
curves. We derive an equation to obtain the number of solutions of equations over finite fields
using Jacobi sums in order to compute the Zeta function for specific equations. Also, we
introduce the necessary algebraic concepts to prove the rationality and functionality of the zeta
function. | |
| dc.format | PDF | |
| dc.format | application/pdf | |
| dc.language | spa | |
| dc.publisher | Pontificia Universidad Javeriana | |
| dc.rights | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.subject | Weil Conjectures | |
| dc.subject | Congruent Zeta function | |
| dc.subject | Equations over finite fields | |
| dc.subject | Gauss sum | |
| dc.subject | Jacobi sum | |
| dc.subject | Nonsingular Complete Curves | |
| dc.subject | Divisors | |
| dc.subject | Riemann-Roch Theorem | |
| dc.title | Equations over finite fields: Zeta function and Weil conjectures | |
