Equations over finite fields: Zeta function and Weil conjectures

dc.contributor.advisor	Ochoa Arango, Jesus Alonso
dc.contributor.author	Neira Lopez, Santiago
dc.date.accessioned	2022-12-07T18:41:43Z
dc.date.accessioned	2023-05-11T19:14:47Z
dc.date.available	2022-12-07T18:41:43Z
dc.date.available	2023-05-11T19:14:47Z
dc.date.created	2022-11-24
dc.identifier.uri	https://hdl.handle.net/20.500.12032/112278
dc.description.abstract	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.	spa
dc.format	PDF
dc.format.mimetype	application/pdf
dc.language.iso	spa
dc.publisher	Pontificia Universidad Javeriana
dc.rights.uri	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	spa

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