2 papers
math.NT2025
Revisiting the Fermat-type equation
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 Darmon's program for the generalized Fermat equation, I
Nicolas Billerey, Imin Chen, Luis Dieulefait +1
In 2000, Darmon described a program to study the generalized Fermat equation using modularity of abelian varieties of -type over totally real fields. The original ap…