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

collaborators

Showing 2026Show all

2 papers · 1 filter

math.NT2026

On Fermat-type equations of signature $(r, r, p)$

Nuno Freitas

Let $r \geq 11$ be a prime. We show that there are infinitely many integers $C$ for which the Fermat-type equation $x^{r} + y^{r} = C z^{p}$ has no non-trivial primitive solutions for all s…

math.NT2026

Congruences and ramified primes in fields of coefficients of newforms

Nuno Freitas, Filip Gawron

We investigate the splitting behavior of $ℓ$ in the coefficient field of a newform $f$ of level $N$ , under the assumption that $f$ is congruent modulo a prime above $ℓ$ to an…

On Fermat-type equations of signature (r,r,p)

Congruences and ramified primes in fields of coefficients of newforms

On Fermat-type equations of signature $(r, r, p)$