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 2018Show all

3 papers · 1 filter

math.NT2018

On the degree of the $p$ -torsion field of elliptic curves over $Q_{ℓ}$ for $ℓ \neq = p$

Nuno Freitas, Alain Kraus

Let $ℓ$ and $p \geq 3$ be distinct prime numbers. Let $E / Q_{ℓ}$ be an elliptic curve with $p$ -torsion module $E_{p}$ . Let $Q_{ℓ} (E_{p})$ be the $p$ -torsion f…

math.NT2018

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 $Q (ζ_{2^{r + 2}})^{+}$ where $r \geq 0$ . A crucial step in t…

math.NT2018★ 3 cited

Some extensions of the modular method and Fermat equations of signature $(13, 13, n)$

Nicolas Billerey, Iimin Chen, Lassina Dembele +2

We provide several extensions of the modular method which were motivated by the problem of completing previous work to prove that, for any integer $n \geq 2$ , the equation \[ x^{13…

On the degree of the p-torsion field of elliptic curves over Qℓ​ for ℓ=p

On asymptotic Fermat over the Z_2 extension of Q

Some extensions of the modular method and Fermat equations of signature (13,13,n)

On the degree of the $p$ -torsion field of elliptic curves over $Q_{ℓ}$ for $ℓ \neq = p$

Some extensions of the modular method and Fermat equations of signature $(13, 13, n)$