2 papers
math.NT2026
Congruences and ramified primes in fields of coefficients of newforms
Nuno Freitas, Filip Gawron
We investigate the splitting behavior of in the coefficient field of a newform of level , under the assumption that is congruent modulo a prime above to an…
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…