Fermat’s last theorem over ℚ(,)

In this paper, we begin the study of the Fermat equation x n + y n = z n over real biquadratic fields.In particular, we prove that there are no nontrivial solutions to the Fermat equation over ( 2, 3) for n 4.

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Publication Details

Journal
Algebra & Number Theory
Published
2025-02-20
DOI
https://doi.org/10.2140/ant.2025.19.457
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

Fermat’s last theorem over ℚ(,)

Maleeha Khawaja, Frazer Jarvis
Algebra & Number Theory
Algebraic Geometry and Number Theory
article

Fermat’s last theorem over ℚ(,)

Maleeha Khawaja, Frazer Jarvis
article en

Abstract

In this paper, we begin the study of the Fermat equation x n + y n = z n over real biquadratic fields.In particular, we prove that there are no nontrivial solutions to the Fermat equation over ( 2, 3) for n 4.

Algebra & Number TheoryVol. 19(3)
University of Sheffield (GB)
Openalex Percentile: Top 94%
Algebraic Geometry and Number Theory
DOIOpen Access PDFOpenAlex
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Fermat’s last theorem over ℚ(,) — Maleeha Khawaja, Frazer Jarvis · Algebra & Number Theory (2025) | TGRS Research Map | TGRS