Equations over finite fields: Zeta function and Weil conjectures

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 necess...

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Autores:
Neira Lopez, Santiago
Tipo de recurso:
Trabajo de grado de pregrado
Fecha de publicación:
2022
Institución:
Pontificia Universidad Javeriana
Repositorio:
Repositorio Universidad Javeriana
Idioma:
spa
OAI Identifier:
oai:repository.javeriana.edu.co:10554/62414
Acceso en línea:
http://hdl.handle.net/10554/62414
Palabra clave:
Weil Conjectures
Congruent Zeta function
Equations over finite fields
Gauss sum
Jacobi sum
Nonsingular Complete Curves
Divisors
Riemann-Roch Theorem
Weil Conjectures
Congruent Zeta function
Equations over finite fields
Gauss sum
Jacobi sum
Nonsingular Complete Curves
Divisors
Riemann-Roch Theorem
Matemáticas - Tesis y disertaciones académicas
Campos finitos (Álgebra)
Ecuaciones
Procesos de Gauss
Rights
openAccess
License
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