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Title: Enters algebraics i treballs de Kummer sobre l’últim teorema de Fermat
Author: Cortés Roca, Cèlia
Director/Tutor: Dieulefait, L. V. (Luis Victor)
Keywords: Darrer teorema de Fermat
Treballs de fi de grau
Teoria algebraica de nombres
Factorització (Matemàtica)
Fermat's last theorem
Bachelor's thesis
Algebraic number theory
Factorization (Mathematics)
Issue Date: 27-Jun-2018
Abstract: [en] Fermat’s Last Theorem asserts that the equation $x^{n} + y^{n}= x^{n}$ has not non-zero integral solutions $x, y, z$ for $n \geq 3$. In this project we study the Kummer’s proof of the first case of the Theorem along with developing the basic tools of the algebraic number theory. This first case is that the exponent $n$ in the equation is a so-called regular prime and n does not divide any of $x, y, z$.
Note: Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2018, Director: Luis Victor Dieulefait
Appears in Collections:Treballs Finals de Grau (TFG) - Matemàtiques

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