On Fermat's Last Theorem over the ℤ₃-extension of ℚ and other fields

2025/07/22 by Luís Dieulefait, Dieulefait, Luis, Franco Golfieri Madriaga +1
Mathematics · #Algebraic Geometry and Number Theory

paper · pdf · doi:10.48550/arxiv.2507.16883

Abstract

The main result of the present article is a proof of Fermat's Last Theorem for sufficiently large prime exponents p with p ≡ 2 \pmod3 over certain number fields. A particular case of these fields are the maximal real subfields of the cyclotomic extensions ℚ(ζ_3ⁿ) for every n. Our strategy consists in combining the modular method with a generalization of an arithmetic result of Pomey to these fields.

Citations

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