Franco Golfieri Madriaga

activity

20222026

most citedHypergeometric motives and the generalized Fermat equation

1 citations · 1 across the 4 of their papers we have counts for

collaborators

4 papers

math.NT2026

On rank $2$ hypergeometric motives

Franco Golfieri Madriaga, Ariel Pacetti, Fernando Rodriguez Villegas

Hypergeometric motives are family of motives associated to hypergeometric local systems. Their special features, in particular their rigidity, makes them more tractable than genera…

math.NT2025

On Fermat's Last Theorem over the $Z_{3}$ -extension of $Q$ and other fields

Luis Dieulefait, Franco Golfieri Madriaga

The main result of the present article is a proof of Fermat's Last Theorem for sufficiently large prime exponents $p$ with $p \equiv 2 (mod 3)$ over certain number fields. A parti…

math.NT2024★ 1 cited

Hypergeometric motives and the generalized Fermat equation

Franco Golfieri Madriaga, Ariel Pacetti

In the beautiful article [11] Darmon proposed a program to study integral solutions of the generalized Fermat equation $A x^{p} + B y^{q} = C z^{r}$ . In the aforementioned article, Darmon prove…

math.NT2022

On endomorphism algebras of $GL_{2}$ -type abelian varieties and Diophantine applications

Franco Golfieri Madriaga, Ariel Pacetti, Lucas Villagra Torcomian

Let $f$ and $g$ be two different newforms without complex multiplication having the same coefficient field. The main result of the present article proves that a congruence between…

On rank 2 hypergeometric motives

On Fermat's Last Theorem over the Z3​-extension of Q and other fields

Hypergeometric motives and the generalized Fermat equation

On endomorphism algebras of GL2​-type abelian varieties and Diophantine applications

On rank $2$ hypergeometric motives

On Fermat's Last Theorem over the $Z_{3}$ -extension of $Q$ and other fields

On endomorphism algebras of $GL_{2}$ -type abelian varieties and Diophantine applications