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Es imposible descomponer un cubo en dos cubos


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Opened Access Es imposible descomponer un cubo en dos cubos
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Author: Barragán Borja, Enrique
Director: Calderón Moreno, Francisco Javier
Department: Universidad de Sevilla. Departamento de álgebra
Date: 2018
Document type: Final Degree Work
Academic Title: Universidad de Sevilla. Grado en Matemáticas
Abstract: The objective of this work is to study the proof of Fermat’s last theorem. We study some trivial cases of Fermat’s last theorem, Sophie Germain’s theorem, which established the first case of Fermat’s theorem, and we also study the local and modular Fermat problem. Finally, we will focus on the proof of Fermat’s last theorem by using elliptic curves, modular forms and the Shimura-Taniyama conjecture. To study all these problems, we have used differents techniques of algebraic number theory, elliptic curves, modular functions, L-functions and Galois representations.
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