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 2017Show all

3 papers · 1 filter

math.NT2017

A multi-Frey approach to Fermat equations of signature $(r, r, p)$

Nicolas Billerey, Imin Chen, Luis Dieulefait +1

In this paper, we give a resolution of the generalized Fermat equations $x^{5} + y^{5} = 3 z^{n} and x^{13} + y^{13} = 3 z^{n},$ for all integers $n \geq 2$ , and all integers $n…

math.NT2017★ 2 cited

The generalized Fermat equation with exponents 2, 3, n

Nuno Freitas, Bartosz Naskrecki, Michael Stoll

We study the Generalized Fermat Equation $x^{2} + y^{3} = z^{p}$ , to be solved in coprime integers, where $p \geq 7$ is prime. Using modularity and level lowering techniques, the problem…

math.NT2017

Sums of two cubes as twisted perfect powers, revisited

Michael A. Bennett, Carmen Bruni, Nuno Freitas

In this paper, we sharpen earlier work of the first author, Luca and Mulholland, showing that the Diophantine equation $$ A^3+B^3 = q^αC^p, \, \, ABC \neq 0, \, \, \gcd (A,B) =1, $…

A multi-Frey approach to Fermat equations of signature (r,r,p)

The generalized Fermat equation with exponents 2, 3, n

Sums of two cubes as twisted perfect powers, revisited

A multi-Frey approach to Fermat equations of signature $(r, r, p)$