Fermat's last theorem over Q(√2, (√3)

In this paper, we begin the study of the Fermat equation xn+yn = zn over real biquadratic fields. In particular, we prove that there are no nontrivial solutions to the Fermat equation over Q(√2,√3) for n≥4.

Publication Details

Journal
White Rose Research Online (University of Leeds, The University of Sheffield, University of York)
Published
2025-02-20
Primary Topic
Magnetic confinement fusion research
Type
article
Field-Weighted Citation Impact
0.00
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article

Fermat's last theorem over Q(√2, (√3)

White Rose Research Online (University of Leeds, The University of Sheffield, University of York)
Magnetic confinement fusion research
article

Fermat's last theorem over Q(√2, (√3)

article en

Abstract

In this paper, we begin the study of the Fermat equation xn+yn = zn over real biquadratic fields. In particular, we prove that there are no nontrivial solutions to the Fermat equation over Q(√2,√3) for n≥4.

White Rose Research Online (University of Leeds, The University of Sheffield, University of York)
Openalex Percentile: Top 32%
Magnetic confinement fusion research
OpenAlex
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Fermat's last theorem over Q(√2, (√3) · White Rose Research Online (University of Leeds, The University of Sheffield, University of York) (2025) | TGRS Research Map | TGRS