Nuno Freitas

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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 2012 · math.NTShow all

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math.NT2012★ 5 cited

Recipes to Fermat-type equations of the form x^r + y^r = Cz^p

Nuno Freitas

We describe a strategy to attack infinitely many Fermat-type equations of signature $(r, r, p)$ , where $r \geq 7$ is a fixed prime and $p$ is a prime allowed to vary. We use a varian…

math.NT2012

Fermat-type equations of signature (13,13,p) via Hilbert cuspforms

Luis Dieulefait, Nuno Freitas

In this paper we prove that equations of the form $x^{13} + y^{13} = C z^{p}$ have no non-trivial primitive solutions (a,b,c) such that $13 ∤ c$ if $p > 4992539$ for an infinite…