Luis Dieulefait

collaborators

2 papers

math.NT2025

Revisiting the Fermat-type equation $x^{13} + y^{13} = 3 z^{7}$

Nicolas Billerey, Imin Chen, Lassina Dembélé +2

We solve the Fermat-type equation \[ x^{13} + y^{13} = 3 z^7, \qquad \gcd(x,y,z) = 1 \] combining a unit sieve, the multi-Frey modular method, level raising, computations of system…

math.NT2025

On Fermat's Last Theorem over the $Z_{3}$ -extension of $Q$ and other fields

Luis Dieulefait, Franco Golfieri Madriaga

The main result of the present article is a proof of Fermat's Last Theorem for sufficiently large prime exponents $p$ with $p \equiv 2 (mod 3)$ over certain number fields. A parti…

Revisiting the Fermat-type equation x13+y13=3z7

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

Revisiting the Fermat-type equation $x^{13} + y^{13} = 3 z^{7}$

On Fermat's Last Theorem over the $Z_{3}$ -extension of $Q$ and other fields