On asymptotic Fermat over the Z_2 extension of Q

Nuno Freitas, Alain Kraus, Samir Siksek

In a recent work the authors prove the effective asymptotic Fermat's Last Theorem for the infinite family of fields $\mathbb{Q}({\zeta }_{2^{r+2}}{)}^{+}$ where $r\ge 0$. A crucial step in t…