Fermat's Last Theorem over $\mathbb{Q}(\sqrt{2},\sqrt{3})$

Published 7 Oct 2022 in math.NT | (2210.03744v4)

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 non-trivial solutions to the Fermat equation over $\mathbb{Q}(\sqrt{2},\sqrt{3})$ for $n\geq 4$.

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