Nuno Freitas

activity

20112026

most citedThe Asymptotic Fermat's Last Theorem for Five-Sixths of Real Quadratic Fields

41 citations · 104 across the 25 of their papers we have counts for

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Showing 2022Show all

3 papers · 1 filter

math.NT2022

Two results on $x^{r} + y^{r} = d z^{p}$

Nuno Freitas, Filip Najman

This note proves two theorems regarding Fermat-type equation $x^{r} + y^{r} = d z^{p}$ where $r \geq 5$ is a prime. Our main result shows that, for infinitely many integers~ $d$ , the previ…

math.NT2022

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 $GL_{2}$ -type over totally real fields. The original ap…

math.NT2022

On Galois inertial types of elliptic curves over $Q_{ℓ}$

Lassina Dembélé, Nuno Freitas, John Voight

We provide a complete, explicit description of the inertial Weil--Deligne types arising from elliptic curves over $Q_{ℓ}$ for $ℓ$ prime.

Two results on xr+yr=dzp

On Darmon's program for the generalized Fermat equation, I

On Galois inertial types of elliptic curves over Qℓ​

Two results on $x^{r} + y^{r} = d z^{p}$

On Galois inertial types of elliptic curves over $Q_{ℓ}$