Statement Prove Fermat's Last Theorem for all exponents greater than 2. This proof should not only cover the work of Andrew Wiles but also extend to other methods, including modular forms, elliptic curves, and Galois representations. Include a discussion on the implications of the theorem for algebraic number theory and mathematical physics. Required Research: 1. "Andrew Wiles' Proof of Fermat's Last Theorem" [https://www.ams.org/journals/bull/1995-32- 04/S0273-0979-1995-00688-6] 2. "Exploring Modular Forms in Number Theory" [https://www.jstor.org/stable/2026094] 3. "Advanced Topics in Elliptic Curves and Fermat's Last Theorem" [https://www.sciencedirect.com/science/article/pii/S0012378712010915]

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 91E
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Statement Prove Fermat's Last Theorem for all exponents greater than 2. This proof should not only
cover the work of Andrew Wiles but also extend to other methods, including modular forms, elliptic
curves, and Galois representations. Include a discussion on the implications of the theorem for
algebraic number theory and mathematical physics.
Required Research:
1. "Andrew Wiles' Proof of Fermat's Last Theorem" [https://www.ams.org/journals/bull/1995-32-
04/S0273-0979-1995-00688-6]
2. "Exploring Modular Forms in Number Theory" [https://www.jstor.org/stable/2026094]
3. "Advanced Topics in Elliptic Curves and Fermat's Last Theorem"
[https://www.sciencedirect.com/science/article/pii/S0012378712010915]
Transcribed Image Text:Statement Prove Fermat's Last Theorem for all exponents greater than 2. This proof should not only cover the work of Andrew Wiles but also extend to other methods, including modular forms, elliptic curves, and Galois representations. Include a discussion on the implications of the theorem for algebraic number theory and mathematical physics. Required Research: 1. "Andrew Wiles' Proof of Fermat's Last Theorem" [https://www.ams.org/journals/bull/1995-32- 04/S0273-0979-1995-00688-6] 2. "Exploring Modular Forms in Number Theory" [https://www.jstor.org/stable/2026094] 3. "Advanced Topics in Elliptic Curves and Fermat's Last Theorem" [https://www.sciencedirect.com/science/article/pii/S0012378712010915]
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