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Equations over finite fields: Zeta function and Weil conjectures
(Pontificia Universidad Javeriana, 2022)
Modular Hypergeometric Residue Sums of Elliptic Selberg Integrals
(Springer Netherlands, 2008)
Some topics on finite fields
(Universidade Federal de Minas GeraisBrasilICEX - INSTITUTO DE CIÊNCIAS EXATASPrograma de Pós-Graduação em MatemáticaUFMG, 2022-01-26)
Neste trabalho, nós estudamos alguns problemas teóricos na teoria de corpos finitos e que são de interesse para várias aplicações, bem como em teoria de códigos, criptografia e áreas relacionadas. Em particular, nós estudamos ...
Explicit matrix inverses for lower triangular matrices with entries involving Jacobi polynomials
(2015)
For a two-parameter family of lower triangular matrices with entries involving Jacobi polynomials an explicit inverse is given, with entries involving a sum of two Jacobi polynomials. The formula simplifies in the Gegenbauer ...
Construction of shape functions for the h- and p-versions of the FEM using tensorial product
(John Wiley & Sons LtdChichesterInglaterra, 2007)
Two new conjectures concerning positive jacobi polynomials sums
(Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas, 1998)
[Formula Matemática] hold, is stated. An algorithm for checking the new conjecture using the package Mathematica is provided. Numerical results in support of the conjecture are given and a possible approach to its proof ...
Explicit matrix inverses for lower triangular matrices with entries involving Jacobi polynomials
(Academic Press Inc Elsevier Science, 2014-04)
For a two-parameter family of lower triangular matrices with entries involving Jacobi polynomials an explicit inverse is given, with entries involving a sum of two Jacobi polynomials. The formula simplifies in the Gegenbauer ...
On The Relation Between Units And Jacobi Sums In Prime Cyclotomic Fields
(Springer-Verlag, 1991)
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 ...
Generalização dos Teoremas de Chevalley-Warning e Ax-Katz
(Universidade Federal de Minas GeraisBrasilICX - DEPARTAMENTO DE MATEMÁTICAPrograma de Pós-Graduação em MatemáticaUFMG, 2021-04-30)
In this dissertation, we will present some generalizations of the Ax-Katz and Chevalley-
Warning Theorems. Their goal is to nd the greatest power of the prime p that divides
the number of solutions of a polynomial system ...