Ariel Pacetti

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20242026

most citedHypergeometric motives and the generalized Fermat equation

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

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math.NT2025

On the generalized Fermat equation of signature $(5, p, 3)$

Ariel Pacetti, Lucas Villagra Torcomian

In this article we study solutions to the generalized Fermat equation $x^{q} + y^{p} + z^{r} = 0$ using hypergeometric motives within the framework of the modular method. In doing so, we give…

math.NT2025

On Transformation properties of hypergeometric motives and Diophantine equations

Ariel Pacetti

Over the last two hundred years different transformation formulas for Gauss' hypergeometric function $_{2} F_{1}$ were discovered. The goal of the present article is to study their ar…

On the generalized Fermat equation of signature (5,p,3)

On Transformation properties of hypergeometric motives and Diophantine equations

On the generalized Fermat equation of signature $(5, p, 3)$